What is sqrt(\sqrt[6]{3x)} ?

The solution to sqrt(\sqrt[6]{3x)} is \sqrt[12]{3}\sqrt[12]{x}

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simplify sqrt(\sqrt[6]{3x)}

simplify

Solution steps

Apply radical rule:

= ((3 x)^{\frac{1}{6}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (3 x)^{\frac{1}{6} \cdot \frac{1}{2}}

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

= (3 x)^{\frac{1}{12}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

b^{- l o g_{b} (\frac{1}{x})}

e^{- (- 0.2)}

0.03936 \cdot 6.4 \cdot 1 0^{- 4}

\frac{( e ^{- x} )}{e ^{- x}}

What is sqrt(\sqrt[6]{3x)} ?
The solution to sqrt(\sqrt[6]{3x)} is \sqrt[12]{3}\sqrt[12]{x}