What is sqrt(\sqrt[4]{2x)} ?

The solution to sqrt(\sqrt[4]{2x)} is \sqrt[8]{2}\sqrt[8]{x}

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simplify sqrt(\sqrt[4]{2x)}

simplify

Solution steps

Apply radical rule:

= ((2 x)^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x)^{\frac{1}{4} \cdot \frac{1}{2}}

\frac{1}{4} \cdot \frac{1}{2} = \frac{1}{8}

= (2 x)^{\frac{1}{8}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

e^{- 0.01 x y^{2}}

10 e^{- 2 \cdot 2}

\frac{13}{41}

e^{(- \frac{1}{2} \cdot l n (1 + x^{2}))}

x^{7} y^{7}

What is sqrt(\sqrt[4]{2x)} ?
The solution to sqrt(\sqrt[4]{2x)} is \sqrt[8]{2}\sqrt[8]{x}