What is sqrt(\sqrt[4]{5x)} ?

The solution to sqrt(\sqrt[4]{5x)} is \sqrt[8]{5}\sqrt[8]{x}

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simplify sqrt(\sqrt[4]{5x)}

simplify

Solution steps

Apply radical rule:

= ((5 x)^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (5 x)^{\frac{1}{4} \cdot \frac{1}{2}}

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

= (5 x)^{\frac{1}{8}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

5.3 \cdot 1 0^{- 9}

e^{- t} (t) d t

1.5 (1 0^{- 4})

What is sqrt(\sqrt[4]{5x)} ?
The solution to sqrt(\sqrt[4]{5x)} is \sqrt[8]{5}\sqrt[8]{x}