What is \sqrt[6]{\sqrt[5]{3x}} ?

The solution to \sqrt[6]{\sqrt[5]{3x}} is \sqrt[30]{3}\sqrt[30]{x}

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simplify \sqrt[6]{\sqrt[5]{3x}}

simplify

Solution steps

Apply radical rule:

= ((3 x)^{\frac{1}{5}})^{\frac{1}{6}}

Apply exponent rule:

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

assuming

a \geq 0

= (3 x)^{\frac{1}{5} \cdot \frac{1}{6}}

\frac{1}{5} \cdot \frac{1}{6} = \frac{1}{30}

= (3 x)^{\frac{1}{30}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

12 e^{- 0.125}

(2 a^{3} b^{4}) (6 a^{2} b^{3})

12.5 \cdot 1 0^{- 7}

(ln (5)) (\frac{2}{3 ^{4}})^{- 4}

What is \sqrt[6]{\sqrt[5]{3x}} ?
The solution to \sqrt[6]{\sqrt[5]{3x}} is \sqrt[30]{3}\sqrt[30]{x}