What is sqrt(\sqrt[6]{5x)} ?

The solution to sqrt(\sqrt[6]{5x)} is \sqrt[12]{5}\sqrt[12]{x}

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simplify sqrt(\sqrt[6]{5x)}

simplify

Solution steps

Apply radical rule:

= ((5 x)^{\frac{1}{6}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (5 x)^{\frac{1}{6} \cdot \frac{1}{2}}

\frac{1}{6} \cdot \frac{1}{2} = \frac{1}{12}

= (5 x)^{\frac{1}{12}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

3.1 \cdot 1 0^{- 11}

- 2 z^{2} (y - 2)^{2} (x - 1)^{2}

6.25 \cdot 1 0^{- 2}

What is sqrt(\sqrt[6]{5x)} ?
The solution to sqrt(\sqrt[6]{5x)} is \sqrt[12]{5}\sqrt[12]{x}