What is sqrt(\sqrt[3]{\sqrt[4]{x)}} ?

The solution to sqrt(\sqrt[3]{\sqrt[4]{x)}} is \sqrt[24]{x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(\sqrt[3]{\sqrt[4]{x)}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{12}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{\frac{1}{12} \cdot \frac{1}{2}}

\frac{1}{12} \cdot \frac{1}{2} = \frac{1}{24}

= x^{\frac{1}{24}}

((4 x^{2} + 4 x + 2)^{'})^{2}

e^{- \frac{16}{450}}

(\frac{1}{4} x) (\frac{1}{3} x^{3})

e^{- (0.1)^{2}}

e^{- 2} \cdot e^{6}

What is sqrt(\sqrt[3]{\sqrt[4]{x)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[4]{x)}} is \sqrt[24]{x}