New posts in radicals

Why is $\sqrt{x^2}= |x|$ rather than $\pm x$? [duplicate]

algebra-precalculus absolute-value radicals

Finding $\lim\limits_{x \to \infty} (\sqrt{9x^2+x} - 3x)$

calculus limits radicals

What is the $\lim_{n\to \infty} {\sqrt[n]{(1+1/n)(1+2/n)...(1+n/n)}}$ [duplicate]

calculus limits radicals

What is(are) the value(s) of $\sqrt{i}+\sqrt{-i}$?

complex-numbers radicals

Prove $ \sum \frac{\cos n} { \sqrt n}$ converges

real-analysis sequences-and-series trigonometry convergence-divergence radicals

Irrationality of $\sqrt[n]2$ [duplicate]

abstract-algebra elementary-number-theory radicals rationality-testing

How to prove $\frac{1}{x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+2\sqrt{\frac{1}{ab}+\frac{1}{ac}+\frac{1}{bc}}$

algebra-precalculus rational-functions radicals

Smart way to solve octics like $x^8+5992704x-304129728=0$

galois-theory radicals gap

finding square root

Ramanujan's Class Invariant $G_{625}$

special-functions radicals golden-ratio modular-function

How to show that $\lim_{n \to \infty} a_n^{1/n} = l$?

calculus limits radicals

Show that $\sqrt[7]{7!}<\sqrt[8]{8!}$ [duplicate]

algebra-precalculus inequality exponentiation factorial radicals

General Principles of Solving Radical Equations

algebra-precalculus radicals

A modular equation of 19th degree of Dedekind’s $\eta$ function.

radicals modular-forms

Upper bound for $\sqrt[n]{n!}$

functions factorial radicals

Rationalization of $\frac{2\sqrt{6}}{\sqrt{2}+\sqrt{3}+\sqrt{5}}$

algebra-precalculus fractions radicals rationalising-denominator

Find the value of $\frac{1+2x}{1+\sqrt{1+2x}}+\frac{1-2x}{1-\sqrt{1-2x}}$ for $x=\frac{\sqrt3}{4}$.

algebra-precalculus roots radicals

Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational [duplicate]

elementary-number-theory radicals irrational-numbers rationality-testing

How to simplify $-\sqrt {16x^2}$ when $x < 0$? [closed]

radicals square-numbers

$Rad(I)$ is an ideal of $R$

abstract-algebra ideals radicals