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New posts in radicals
On solvable octic trinomials like $x^8-5x-5=0$
galois-theory
radicals
show this inequality $\left(\sum_{i=1}^{n}x_{i}+n\right)^n\ge \left(\prod_{i=1}^{n}x_{i}\right)\left(\sum_{i=1}^{n}\frac{1}{x_{i}}+n\right)^n$
calculus
multivariable-calculus
inequality
radicals
What's the explanation for these (infinitely many?) Ramanujan-type identities?
trigonometry
galois-theory
radicals
cubics
How to calculate the asymptotic expansion of $\sum \sqrt{k}$?
calculus
sequences-and-series
summation
radicals
If $x = \frac{\sqrt{111}-1}{2}$, calculate $(2x^{5} + 2x^{4} - 53x^{3} - 57x + 54)^{2004}$.
algebra-precalculus
polynomials
contest-math
radicals
Integral of $\sqrt{1 + \sqrt{x}}$
calculus
integration
indefinite-integrals
radicals
Combined AM GM QM inequality
inequality
radicals
substitution
a.m.-g.m.-inequality
uvw
Prove $_4F_3(1/8,3/8,5/8,7/8;1/4,1/2,3/4;1/2)=\frac{\sqrt{2-\sqrt2+\sqrt{2-\sqrt2}}+\sqrt{2+\sqrt2+\sqrt{2+\sqrt2}}}{2\,\sqrt2}$
calculus
closed-form
conjectures
hypergeometric-function
radicals
Is my method of solving equation correct?
algebra-precalculus
problem-solving
radicals
Show that $({\sqrt{2}\!+\!1})^{1/n} \!+ ({\sqrt{2}\!-\!1})^{1/n}\!\not\in\mathbb Q$
induction
contest-math
radicals
rationality-testing
Evaluation of $\lim_{x\rightarrow \infty}\left\{\left[(x+1)(x+2)(x+3)(x+4)(x+5)\right]^{\frac{1}{5}}-x\right\}$
limits
radicals
How to prove $|\sum_{i=1}^n a_i|\le \sqrt{n} \sqrt{\sum_{i=1}^n a_i^2}$
inequality
radicals
absolute-value
cauchy-schwarz-inequality
tangent-line-method
How would you prove that $\lim\limits_{n\to\infty}(\sqrt{4n^2+n}-2n)=\frac14$?
limits
radicals
Find $\lim_{n \to +\infty} \frac{1}{n}\sqrt[n]{\frac{(2n)!}{n!}} $ using Riemann integral [duplicate]
calculus
real-analysis
limits
factorial
radicals
What is the fallacy in this proof? [duplicate]
arithmetic
radicals
fake-proofs
Proving that $\sqrt{13+\sqrt{52}} - \sqrt{13}$ is irrational.
proof-writing
radicals
irrational-numbers
rational-numbers
How to solve the inequality $x^2>10$ using square roots?
algebra-precalculus
inequality
radicals
Showing $\lim_{n\rightarrow\infty}\sqrt[3]{n^3+n^2}-\sqrt[3]{n^3+1}\rightarrow\frac{1}{3}$
calculus
real-analysis
radicals
Two definitions of Jacobson Radical
ring-theory
definition
radicals
Proposition: $\sqrt{x + \sqrt{x + \sqrt{x + ...}}} = \frac{1 + \sqrt{1 + 4x}}{2}$.
radicals
nested-radicals
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