New posts in radicals

Is my proof that the square root of all imperfect squares are irrational correct?

elementary-number-theory proof-verification radicals

Identity in Ramanujan style

algebra-precalculus radicals

cyclic three variable inequality

inequality radicals substitution cauchy-schwarz-inequality buffalo-way

Tricky inequality involving 3 variables

inequality optimization radicals substitution a.m.-g.m.-inequality

Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

algebra-precalculus elementary-number-theory radicals nested-radicals

Is there formula to easily factorize $7+4 \sqrt{3}$ to $(2+ \sqrt{3} )^2$? [duplicate]

algebra-precalculus proof-writing radicals nested-radicals

Equation with huge number of nested square roots:

sequences-and-series radicals

Golden ratio, $n$-bonacci numbers, and radicals of the form $\sqrt[n]{\frac{1}{n-1}+\sqrt[n]{\frac{1}{n-1}+\sqrt[n]{\frac{1}{n-1}+\cdots}}}$

sequences-and-series number-theory limits fibonacci-numbers radicals

Square root of increasing Exponents of 2

radicals

Computation of a limit involving factorial $\lim_{n \to \infty} \sqrt[n+1] {(n+1)!} - \sqrt[n] {(n)!} = \frac{1}{e}$

calculus real-analysis limits factorial radicals

Simplifying nested square roots ($\sqrt{6-4\sqrt{2}} + \sqrt{2}$)

arithmetic radicals

Find the maximum value of $ \sqrt{x^4-3x^2-6x+13} - \sqrt{x^4-x^2+1} $ [duplicate]

calculus algebra-precalculus polynomials roots radicals

How to calculate $3^{\sqrt{2}}$ with a simple calculator?

calculus radicals

If $0<x<y$, then prove that $\sqrt{x} <\sqrt{y}$ and $x <\sqrt{xy} <y$

algebra-precalculus inequality radicals

Prove that if $({x+\sqrt{x^2+1}})({y+\sqrt{y^2+1}})=1$ then $x+y=0$

algebra-precalculus proof-verification radicals

Radical equation $\sqrt{x+1}+\sqrt{x-1}-\sqrt{x^2 -1}=x$

algebra-precalculus radicals

Derivative of a quotient inside a square root

algebra-precalculus derivatives radicals

How to find a limit of this sequence: $\lim\limits_{n \to \infty} \sum\limits_{k=1}^n \frac{1}{\sqrt{kn}}$

calculus limits summation radicals

A possible solution to $\sqrt {5-x}=5-x^2$ (without taking square from both sides)

algebra-precalculus polynomials solution-verification radicals functional-equations

Limit of : $\lim\limits_{n\to\infty}{(\sqrt[3]{n+1}-\sqrt[3]{n})}$.

calculus limits radicals