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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

(x + h)^{\frac{1}{3}} \cdot (x)^{\frac{1}{3}}

0.6 \cdot 1 0^{- 6}

e^{- 0.0673 (3)}

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