# Recent questions tagged rational

70
views
Multiply $$\frac{36}{49}$$ and $$\frac{21}{63}$$. What type of number is the result?
99
views
Prove that every meromorphic function on $S^2$ is rational.
83
views
Is $$\log_{10}2$$ rational?
111
views
Solve the quadratic equation $$4x^2+3x-8=19$$
163
views
Is the number $$-\frac{10}{3}$$ a rational number?
137
views
What are natural, whole and rational sets?
130
views
If I multiply two negative numbers the result will be a positive one, why does it happen?
208
views
Simplify $$\frac{3^{2 x} \cdot 27^{x-1}}{9^{2 x+2}}$$
274
views
Write down the six laws for exponents. Use latex
257
views
Is pi an irrational number?
290
views
Is $$\sqrt{17}$$ a rational number? If so, why?
487
views
What is an irrational number?
567
views
What is a rational number?
258
views
Solve for $$x$$ $4 x^2-4 x-1=0$ (leave your answers in simplest surd form)
335
views
How do you simplify an expression with exponents?
486
views
Convert the recurring decimal $$2, \dot{5} \dot{3}$$ into a common fraction.
174
views
Solve the equation $\dfrac{3x - 5}{x^2 - 4x + 3} = 0$
439
views
Solve the rational equation $\frac{x^2 - 4x + 3}{x - 1} = 0$
212
views
What is a rational equation?
457
views
What percent of $$897.77$$ is $$84.95$$?
530
views
State whether the following statement is true or false. The point $$\mathrm{A}(-1 ;-2)$$ lies in the $$3^{\text {rd }}$$ quadrant.
414
views
Calculate $$8\left(\frac{1}{8}-\sqrt{\frac{1}{16}}\right)$$
251
views
Calculate $$\sqrt{\frac{9}{16}} \div \sqrt{\frac{1}{4}}$$.
214
views
Construct a function with a vertical asymptote at $$x=5$$ and a horizontal asymptote at $$y=5 .$$
279
views
What are the Limits of Rational Functions at Infinity?
286
views
How do you determine the Limits of Functions Equal At All But One Point?
232
views
How do you determine Limits of Polynomial and Rational Functions?
301
views
What is a surd?
333
views
What are irrational numbers?
261
views
What is a rational number?
315
views
How do I round real numbers to an appropriate degree of accuracy?
264
views
How do I understand the fact that real numbers can be rational or irrational?
277
views
How do I apply the laws of exponents to expressions involving rational exponents?
382
views
Find a rational number between $$\dfrac{5}{7}$$ and $$\dfrac{3}{4}$$.
214
views
Sum of rational terms in $$(\sqrt{2}+\sqrt[5]{3})^{10}$$ is
310
views
Show that the following numbers are rational:(a) 0,1(b) $$1, \dot{7} \dot{5}$$
277
views
Describe and give examples of rational numbers
233
views
If $$p$$ is a prime, does it imply that $$\sqrt{p}$$ is irrational?
383
views
Determine if $$\sqrt[5]{5}$$ is irrational.
464
views
Prove that $$\sqrt{5}-\sqrt{3}$$ is not a rational number.
572
views
Give an example of two irrational numbers whose quotient is a rational number.
224
views
Determine rational numbers $$p$$ and $$q$$ if $$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}-p-7 \sqrt{5} q$$.
256
views
Express with a rational denominator: $$\frac{1}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}$$.
253
views
Simplify and express the result in simplest form: $$\frac{\sqrt{x^{2}-y^{2}}+x}{\sqrt{x^{2}+y^{2}}+y} \div \frac{\sqrt{x^{2}+y^{2}}-y}{x-\sqrt{x^{2}-y^{2}}}$$.
323
views
Express with rational denominator: $$\dfrac{y^{2}}{\sqrt{x^{2}+y^{2}}+x}$$.
214
views
Express with rational denominator: $$\dfrac{4}{\sqrt{5}-1}$$.
342
views
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) $$\sqrt{3}+\sqrt{5}$$(...
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 $$q(x)$$ ?
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...
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...