What is sqrt(\sqrt[5]{2x)} ?

The solution to sqrt(\sqrt[5]{2x)} is \sqrt[10]{2}\sqrt[10]{x}

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simplify sqrt(\sqrt[5]{2x)}

simplify

Solution steps

Apply radical rule:

= ((2 x)^{\frac{1}{5}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x)^{\frac{1}{5} \cdot \frac{1}{2}}

\frac{1}{5} \cdot \frac{1}{2} = \frac{1}{10}

= (2 x)^{\frac{1}{10}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

f^{- 1} (90)

e^{- 2 (x + y)}

\frac{d}{d x} (z e^{x} (z + 2))

2.5 \cdot 1 0^{- 12}

(1 + x^{2})^{2} \cdot (1 - 3 x)^{2}

What is sqrt(\sqrt[5]{2x)} ?
The solution to sqrt(\sqrt[5]{2x)} is \sqrt[10]{2}\sqrt[10]{x}