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Tag
rational
Recent questions tagged rational
70
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1
answers
Multiply \(\frac{36}{49}\) and \(\frac{21}{63}\). What type of number is the result?
Multiply \(\frac{36}{49}\) and \(\frac{21}{63}\). What type of number is the result?
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Mathematics
numbers
probability
independent
rational
+
–
99
views
1
answers
Prove that every meromorphic function on $S^2$ is rational.
Prove that every meromorphic function on $S^2$ is rational.
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113k
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asked
Mar 10
Mathematics
prove
meromorphic
function
rational
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83
views
1
answers
Is \(\log_{10}2\) rational?
Is \(\log_{10}2\) rational?
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113k
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Feb 7
Mathematics
rational
number
solution
solve
equation
exponents
numbers
+
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111
views
1
answers
Solve the quadratic equation \(4x^2+3x-8=19\)
Solve the quadratic equation \(4x^2+3x-8=19\)
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113k
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Jan 15
Mathematics
solve
equation
equations
simultaneous
calculus
solution
rational
+
–
163
views
1
answers
Is the number \(-\frac{10}{3}\) a rational number?
Is the number \(-\frac{10}{3}\) a rational number?
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Platinum
113k
points
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asked
Nov 6, 2023
Mathematics
rational
number
numbers
exponents
surd
calculator
denominators
+
–
137
views
1
answers
What are natural, whole and rational sets?
What are natural, whole and rational sets?
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Platinum
113k
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asked
Oct 11, 2023
Mathematics
natural
whole
rational
sets
+
–
130
views
1
answers
If I multiply two negative numbers the result will be a positive one, why does it happen?
If I multiply two negative numbers the result will be a positive one, why does it happen?
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Platinum
113k
points
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asked
Oct 11, 2023
Mathematics
probability
positive
independent
plan
numbers
rational
perform
+
–
208
views
1
answers
Simplify \(\frac{3^{2 x} \cdot 27^{x-1}}{9^{2 x+2}}\)
Simplify \(\frac{3^{2 x} \cdot 27^{x-1}}{9^{2 x+2}}\)
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Platinum
113k
points
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asked
Apr 7, 2023
Mathematics
simplify
exponents
numbers
rational
surd
denominators
calculator
+
–
274
views
1
answers
Write down the six laws for exponents.
Write down the six laws for exponents. Use latex
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Platinum
113k
points
MathsGee
asked
Apr 7, 2023
Mathematics
exponents
rational
laws
apply
+
–
257
views
1
answers
Is pi an irrational number?
Is pi an irrational number?
Maths-Genie
Bronze Status
9.4k
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Maths-Genie
asked
Mar 13, 2023
Mathematics
number
irrational
rational
fraction
prove
sum
product
+
–
290
views
1
answers
Is \(\sqrt{17}\) a rational number? If so, why?
Is \(\sqrt{17}\) a rational number? If so, why?
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Bronze Status
9.4k
points
Maths-Genie
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Feb 9, 2023
Mathematics
rational
number
irrational
+
–
487
views
1
answers
What is an irrational number?
What is an irrational number?
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67.9k
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Feb 6, 2023
Mathematics
number
irrational
rational
fraction
sum
prove
product
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567
views
1
answers
What is a rational number?
What is a rational number?
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67.9k
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Feb 6, 2023
Mathematics
rational
number
numbers
exponents
surd
calculator
decimal
+
–
258
views
1
answers
Solve for \(x\) \[ 4 x^2-4 x-1=0 \] (leave your answers in simplest surd form)
Solve for \(x\) \[ 4 x^2-4 x-1=0 \] (leave your answers in simplest surd form)
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Jan 28, 2023
Mathematics
surd
simplify
calculator
rational
denominators
numbers
exponents
+
–
335
views
1
answers
How do you simplify an expression with exponents?
How do you simplify an expression with exponents?
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67.9k
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Jan 28, 2023
Mathematics
simplify
exponents
rational
denominators
surd
calculator
numbers
+
–
486
views
1
answers
Convert the recurring decimal \(2, \dot{5} \dot{3}\) into a common fraction.
Convert the recurring decimal \(2, \dot{5} \dot{3}\) into a common fraction.
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113k
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asked
Jan 21, 2023
Mathematics
convert
numbers
rational
decimals
recurring
fraction
decimal
+
–
174
views
0
answers
Solve the equation $\frac{3x - 5}{x^2 - 4x + 3} = 0$
Solve the equation $\dfrac{3x - 5}{x^2 - 4x + 3} = 0$
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Platinum
113k
points
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asked
Jan 2, 2023
Mathematics
equation
solve
rational
calculus
equations
simultaneous
solution
+
–
439
views
0
answers
Solve the rational equation $\frac{x^2 - 4x + 3}{x - 1} = 0$
Solve the rational equation $\frac{x^2 - 4x + 3}{x - 1} = 0$
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Platinum
113k
points
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asked
Jan 2, 2023
Mathematics
solve
rational
equation
+
–
212
views
1
answers
What is a rational equation?
What is a rational equation?
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Platinum
113k
points
MathsGee
asked
Jan 2, 2023
Mathematics
rational
equation
solve
+
–
457
views
1
answers
What percent of \(897.77\) is \(84.95 \)?
What percent of \(897.77\) is \(84.95 \)?
MathsGee
Platinum
113k
points
MathsGee
asked
Nov 27, 2022
Mathematics
probability
fallacy
rational
choice
gambler
data
frequency
+
–
530
views
0
answers
State whether the following statement is true or false. The point \(\mathrm{A}(-1 ;-2)\) lies in the \(3^{\text {rd }}\) quadrant.
State whether the following statement is true or false. The point \(\mathrm{A}(-1 ;-2)\) lies in the \(3^{\text {rd }}\) quadrant.
MathsGee
Platinum
113k
points
MathsGee
asked
Nov 27, 2022
Mathematics
statement
determine
multiplicative
inverse
rational
number
matrix
+
–
414
views
0
answers
Calculate \(8\left(\frac{1}{8}-\sqrt{\frac{1}{16}}\right)\)
Calculate \(8\left(\frac{1}{8}-\sqrt{\frac{1}{16}}\right)\)
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Platinum
113k
points
MathsGee
asked
Nov 27, 2022
Mathematics
simplify
function
exponents
numbers
surd
calculator
rational
+
–
251
views
0
answers
Calculate \(\sqrt{\frac{9}{16}} \div \sqrt{\frac{1}{4}}\).
Calculate \(\sqrt{\frac{9}{16}} \div \sqrt{\frac{1}{4}}\).
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Platinum
113k
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asked
Nov 27, 2022
Mathematics
numbers
simplify
exponents
rational
surd
denominators
calculator
+
–
214
views
0
answers
Construct a function with a vertical asymptote at \(x=5\) and a horizontal asymptote at \(y=5 .\)
Construct a function with a vertical asymptote at \(x=5\) and a horizontal asymptote at \(y=5 .\)
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Sep 12, 2022
Mathematics
function
graph
largest
possible
degree
rational
calculate
+
–
279
views
1
answers
What are the Limits of Rational Functions at Infinity?
What are the Limits of Rational Functions at Infinity?
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67.9k
points
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asked
Sep 12, 2022
Mathematics
limits
rational
functions
determine
polynomial
infinity
horizontal
+
–
286
views
1
answers
How do you determine the Limits of Functions Equal At All But One Point?
How do you determine the Limits of Functions Equal At All But One Point?
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Diamond
67.9k
points
AstraNova
asked
Sep 12, 2022
Mathematics
functions
determine
limits
polynomial
rational
equation
calculate
+
–
232
views
1
answers
How do you determine Limits of Polynomial and Rational Functions?
How do you determine Limits of Polynomial and Rational Functions?
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67.9k
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Sep 12, 2022
Mathematics
determine
limits
polynomial
rational
functions
+
–
301
views
1
answers
What is a surd?
What is a surd?
MathsGee
Platinum
113k
points
MathsGee
asked
Sep 7, 2022
Mathematics
keywords
report
ads
identify
irrational
rational
surd
+
–
333
views
1
answers
What are irrational numbers?
What are irrational numbers?
MathsGee
Platinum
113k
points
MathsGee
asked
Sep 7, 2022
Mathematics
number
numbers
irrational
rational
fraction
sum
product
+
–
261
views
1
answers
What is a rational number?
What is a rational number?
MathsGee
Platinum
113k
points
MathsGee
asked
Sep 7, 2022
Mathematics
rational
number
numbers
exponents
surd
calculator
decimal
+
–
315
views
1
answers
How do I round real numbers to an appropriate degree of accuracy?
How do I round real numbers to an appropriate degree of accuracy?
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Platinum
113k
points
MathsGee
asked
Sep 7, 2022
Mathematics
real
numbers
fact
rational
irrational
vectors
inner
+
–
264
views
1
answers
How do I understand the fact that real numbers can be rational or irrational?
How do I understand the fact that real numbers can be rational or irrational?
MathsGee
Platinum
113k
points
MathsGee
asked
Sep 7, 2022
Mathematics
fact
real
numbers
rational
irrational
+
–
277
views
0
answers
How do I apply the laws of exponents to expressions involving rational exponents?
How do I apply the laws of exponents to expressions involving rational exponents?
MathsGee
Platinum
113k
points
MathsGee
asked
Sep 7, 2022
Mathematics
apply
laws
exponents
expressions
involving
rational
+
–
382
views
1
answers
Find a rational number between \(\frac{5}{7}\) and \(\frac{3}{4}\).
Find a rational number between \(\dfrac{5}{7}\) and \(\dfrac{3}{4}\).
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Diamond
67.9k
points
AstraNova
asked
Aug 16, 2022
Mathematics
rational
numbers
exponents
surd
calculator
number
denominators
+
–
214
views
0
answers
Sum of rational terms in \((\sqrt{2}+\sqrt[5]{3})^{10}\) is
Sum of rational terms in \((\sqrt{2}+\sqrt[5]{3})^{10}\) is
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67.9k
points
AstraNova
asked
Aug 15, 2022
Mathematics
rational
number
logarithms
simplify
problem-solving
denominator
rationalize
+
–
310
views
1
answers
Show that the following numbers are rational: (a) 0,1 (b) \(1, \dot{7} \dot{5}\)
Show that the following numbers are rational:(a) 0,1(b) \(1, \dot{7} \dot{5}\)
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Diamond
67.9k
points
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asked
Aug 15, 2022
Mathematics
rational
surd
calculator
vector
integers
form
+
–
277
views
1
answers
Describe and give examples of rational numbers
Describe and give examples of rational numbers
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Aug 15, 2022
Mathematics
rational
number
fraction
irrational
sum
example
product
+
–
233
views
1
answers
If \(p\) is a prime, does it imply that \(\sqrt{p}\) is irrational?
If \(p\) is a prime, does it imply that \(\sqrt{p}\) is irrational?
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67.9k
points
AstraNova
asked
Jul 29, 2022
Mathematics
number
numbers
rational
decimal
fraction
terminating
sample
+
–
383
views
1
answers
Determine if \(\sqrt[5]{5}\) is irrational.
Determine if \(\sqrt[5]{5}\) is irrational.
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Diamond
67.9k
points
AstraNova
asked
Jul 29, 2022
Mathematics
number
numbers
rational
fraction
terminating
decimal
irrational
+
–
464
views
1
answers
Prove that \(\sqrt{5}-\sqrt{3}\) is not a rational number.
Prove that \(\sqrt{5}-\sqrt{3}\) is not a rational number.
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Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
number
rational
calculator
surd
numbers
exponents
prove
+
–
572
views
1
answers
Give an example of two irrational numbers whose quotient is a rational number.
Give an example of two irrational numbers whose quotient is a rational number.
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Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
irrational
sum
rational
example
number
product
fraction
+
–
224
views
0
answers
Determine rational numbers \(p\) and \(q\) if \(\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}-p-7 \sqrt{5} q\).
Determine rational numbers \(p\) and \(q\) if \(\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}-p-7 \sqrt{5} q\).
MathsGee
Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
rational
numbers
surd
calculator
exponents
denominators
number
+
–
256
views
0
answers
Express with a rational denominator: \(\frac{1}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}\).
Express with a rational denominator: \(\frac{1}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}\).
MathsGee
Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
rational
simplify
number
logarithms
problem-solving
denominator
rationalize
+
–
253
views
0
answers
Simplify and express the result in simplest form: \(\frac{\sqrt{x^{2}-y^{2}}+x}{\sqrt{x^{2}+y^{2}}+y} \div \frac{\sqrt{x^{2}+y^{2}}-y}{x-\sqrt{x^{2}-y^{2}}}\).
Simplify and express the result in simplest form: \(\frac{\sqrt{x^{2}-y^{2}}+x}{\sqrt{x^{2}+y^{2}}+y} \div \frac{\sqrt{x^{2}+y^{2}}-y}{x-\sqrt{x^{2}-y^{2}}}\).
MathsGee
Platinum
113k
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MathsGee
asked
Jul 28, 2022
Mathematics
rational
surd
calculator
denominators
simplify
numbers
exponents
+
–
323
views
0
answers
Express with rational denominator: \(\dfrac{y^{2}}{\sqrt{x^{2}+y^{2}}+x}\).
Express with rational denominator: \(\dfrac{y^{2}}{\sqrt{x^{2}+y^{2}}+x}\).
MathsGee
Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
number
rational
simplify
denominator
rationalize
logarithms
problem-solving
+
–
214
views
0
answers
Express with rational denominator: \(\dfrac{4}{\sqrt{5}-1}\).
Express with rational denominator: \(\dfrac{4}{\sqrt{5}-1}\).
MathsGee
Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
number
denominator
rationalize
simplify
logarithms
problem-solving
rational
+
–
342
views
1
answers
Examine, whether the following numbers are rational or an irrational:
Examine, whether the following numbers are rational or an irrational:(a) \(\sqrt{7}\)(b) \(\sqrt{4}\)(c) \(2+\sqrt{3}\)(d) \(\sqrt{3}+\sqrt{2}\)(e) \(\sqrt{3}+\sqrt{5}\)(...
MathsGee
Platinum
113k
points
MathsGee
asked
Jul 28, 2022
Mathematics
rational
number
fraction
algebra
properties
number-line
numbers
+
–
260
views
1
answers
The graph of the rational function \(\frac{q(x)}{x^{6}-4 x^{5}+3 x^{3}+x^{2}-1}\) has a horizontal asymptote. What is the largest possible degree of \(q(x)\) ?
The graph of the rational function \(\frac{q(x)}{x^{6}-4 x^{5}+3 x^{3}+x^{2}-1}\) has a horizontal asymptote. What is the largest possible degree of \(q(x)\) ?
MathsGee
Platinum
113k
points
MathsGee
asked
Jul 7, 2022
Mathematics
graph
rational
function
largest
possible
degree
+
–
336
views
1
answers
How many distinct four-tuples \((a, b, c, d)\) of rational numbers are there with
How many distinct four-tuples \((a, b, c, d)\) of rational numbers are there with\[a \cdot \log _{10} 2+b \cdot \log _{10} 3+c \cdot \log _{10} 5+d \cdot \log _{10} 7=200...
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Platinum
113k
points
MathsGee
asked
Jul 7, 2022
Mathematics
distinct
tuples
rational
numbers
digits
+
–
260
views
1
answers
Prove that \(\sum 1 / p\) diverges; the sum extends over all primes.
Prove that \(\sum 1 / p\) diverges; the sum extends over all primes.(This shows that the primes form a fairly substantial subset of the positive integers.)Hint: Given \(N...
AstraNova
Diamond
67.9k
points
AstraNova
asked
Jul 5, 2022
Mathematics
real
equation
roots
quadratic
rational
non-real
prove
+
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