What is sqrt(\sqrt[3]{2x)} ?

The solution to sqrt(\sqrt[3]{2x)} is \sqrt[6]{2}\sqrt[6]{x}

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simplify sqrt(\sqrt[3]{2x)}

simplify

Solution steps

Apply radical rule:

= ((2 x)^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x)^{\frac{1}{3} \cdot \frac{1}{2}}

\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}

= (2 x)^{\frac{1}{6}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

5.105 \cdot 1 0^{- 8}

4.267 \cdot 1 0^{- 7}

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

e^{- 18.0326}

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

What is sqrt(\sqrt[3]{2x)} ?
The solution to sqrt(\sqrt[3]{2x)} is \sqrt[6]{2}\sqrt[6]{x}