Newbetuts

On solving $\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+x}}}}=\sqrt[3]{6+\sqrt[3]{6+\sqrt[3]{6+\sqrt[3]{6+x}}}}$

What is the principal cubic root of $-8$?

Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$

Why does $\sqrt{n\sqrt{n\sqrt{n \ldots}}} = n$?

Solve $\sqrt{x-5}-\sqrt{9-x}\gt1,x\in\mathbb Z$

To evaluate limit of sequence $\left(\left( 1 + \frac1n \right) \left( 1 + \frac2n \right)\cdots\left( 1 + \frac nn \right) \right)^{1/n}$

How to show an infinite number of algebraic numbers $\alpha$ and $\beta$ for $_2F_1\left(\frac14,\frac14;\frac34;-\alpha\right)=\beta\,$?

Limits to infinity of a factorial function: $\lim_{n\to\infty}\frac{n!}{n^{n/2}}$

$\epsilon$-$\delta$ proof that $\lim_{x \to 1} \sqrt{x} = 1$

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

Algorithms for approximating $\sqrt{2}$

Prove or disprove that $\sqrt{2+\frac{1}{n}}$ is irrational for $n \in \mathbb{Z}^+$

Solve equations $\sqrt{t +9} - \sqrt{t} = 1$

Why must a radical be isolated before squaring both sides?

Find the sum $\frac{1}{\sqrt{1}+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + ...+ \frac{1}{\sqrt{99}+\sqrt{100}}$

Question about the limit $\displaystyle\lim_{n\rightarrow \infty}\sqrt[n]{3^n+ 2^n}$

New posts in radicals

Monotonicity of $\frac{n}{\sqrt[n]{(n!)}}$

Proving that $\sqrt{2}+\sqrt{3}$ is irrational [duplicate]

The radical conjugate roots theorem

Show that $\{1, \sqrt{2}, \sqrt{3}\}$ is linearly independent over $\mathbb{Q}$.

On solving $\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+x}}}}=\sqrt[3]{6+\sqrt[3]{6+\sqrt[3]{6+\sqrt[3]{6+x}}}}$

What is the principal cubic root of $-8$?

Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$

Why does $\sqrt{n\sqrt{n\sqrt{n \ldots}}} = n$?

Solve $\sqrt{x-5}-\sqrt{9-x}\gt1,x\in\mathbb Z$

To evaluate limit of sequence $\left(\left( 1 + \frac1n \right) \left( 1 + \frac2n \right)\cdots\left( 1 + \frac nn \right) \right)^{1/n}$

How to show an infinite number of algebraic numbers $\alpha$ and $\beta$ for $_2F_1\left(\frac14,\frac14;\frac34;-\alpha\right)=\beta\,$?

Limits to infinity of a factorial function: $\lim_{n\to\infty}\frac{n!}{n^{n/2}}$

$\epsilon$-$\delta$ proof that $\lim_{x \to 1} \sqrt{x} = 1$

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

Algorithms for approximating $\sqrt{2}$

Prove or disprove that $\sqrt{2+\frac{1}{n}}$ is irrational for $n \in \mathbb{Z}^+$

Solve equations $\sqrt{t +9} - \sqrt{t} = 1$

Why must a radical be isolated before squaring both sides?

Find the sum $\frac{1}{\sqrt{1}+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + ...+ \frac{1}{\sqrt{99}+\sqrt{100}}$

Question about the limit $\displaystyle\lim_{n\rightarrow \infty}\sqrt[n]{3^n+ 2^n}$