New posts in radicals

Coefficients of binomial continued fractions

complex-analysis binomial-coefficients radicals continued-fractions

Prove that any positive number has an $n$th root

real-analysis radicals alternative-proof supremum-and-infimum

Is there a general form for infinite nested radicals of degreen n?

sequences-and-series radicals nested-radicals

Write $\sqrt{\dfrac{a}{5b}}$ without denominator under the radical sign

algebra-precalculus roots radicals

Sum of cube roots of complex conjugates

algebra-precalculus complex-numbers radicals cubics radical-equations

The contradiction method used to prove that the square root of a prime is irrational

elementary-number-theory radicals rationality-testing

Calculate $\lim_{n \to \infty} \sqrt[n]{|\sin n|}$

calculus limits trigonometry radicals diophantine-approximation

Calculate simple expression: $\sqrt[3]{2 + \sqrt{5}} + \sqrt[3]{2 - \sqrt{5}}$ [duplicate]

algebra-precalculus arithmetic radicals

Inequality $\sqrt{1+x^2}+\sqrt{1+y^2}+\sqrt{1+z^2} \le \sqrt{2}(x+y+z)$

inequality radicals lagrange-multiplier sum-of-squares-method tangent-line-method

How to prove: $\left(\frac{2}{\sqrt{4-3\sqrt[4]{5}+2\sqrt[4]{25}-\sqrt[4]{125}}}-1\right)^{4}=5$?

calculus arithmetic radicals

Prove that all for all positive integers $m,n $: $\frac{1}{\sqrt[n]{m}}+\frac{1}{\sqrt[m]{n}}>1$

algebra-precalculus inequality radicals

Solve the equation $\sqrt{x+3}+\sqrt{x^2+2x+7}-\sqrt{x^2+3}=(x+1)^2$ [closed]

algebra-precalculus systems-of-equations real-numbers radicals

Find the limit of $x +\sqrt{x^2 + 8x}$ as $x\to-\infty$

limits infinity radicals

why is $\sqrt[3]{31}$ so close to $\pi$?

algebra-precalculus radicals pi

Proof that $\sqrt6 - \sqrt2 - \sqrt3$ is irrational. [duplicate]

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

Why can't the quadratic formula be simplified to $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-b\pm(b-2)\sqrt{ac}}{2a}$?

algebra-precalculus roots quadratics radicals

Solve $x\sqrt{x\sqrt{x\sqrt{x\dots}}} = 4$

sequences-and-series radicals nested-radicals

Simple solving Skanavi book exercise: $\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}$ [closed]

algebra-precalculus arithmetic radicals nested-radicals

Sum of $\lfloor k^{1/3} \rfloor$

sequences-and-series summation radicals ceiling-and-floor-functions

How do I calculate this limit: $\lim\limits_{n\to\infty}1+\sqrt[2]{2+\sqrt[3]{3+\dotsb+\sqrt[n]n}}$?

sequences-and-series limits radicals limits-without-lhopital nested-radicals