New posts in Radicals

Find integers $1+\sqrt2+\sqrt3+\sqrt6=\sqrt{a+\sqrt{b+\sqrt{c+\sqrt{d}}}}$

Invertibility of elements in $A[x]$ with coefficients in the Jacobson radical

On Ramanujan's approximation, $n!\sim \sqrt{\pi}\big(\frac ne\big)^n\sqrt [6]{(2n)^3+(2n)^2+n+\frac 1{30}}$

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

Cubic roots and difference of cubes in limits $\lim\limits_{n\to\infty} (\sqrt[3]{n^6-6n^4+1} - n^2)$

Why should it be $\sqrt[3]{6+x}=x$?

Without calculating the square roots, determine which of the numbers:$a=\sqrt{7}+\sqrt{10}\;\;,\;\; b=\sqrt{3}+\sqrt{19}$ is greater.

Prove that $\sum _{cyc}\sqrt{1-\frac{\left(a+b\right)^2}{4}}\ge \sqrt{6}$

$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational

Calculating the nth super-root when n is greater than 2?