What is sqrt(\sqrt[3]{\sqrt[4]{\sqrt[5]{x)}}} ?

The solution to sqrt(\sqrt[3]{\sqrt[4]{\sqrt[5]{x)}}} is \sqrt[120]{x}

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simplify sqrt(\sqrt[3]{\sqrt[4]{\sqrt[5]{x)}}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{60}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{60} \cdot \frac{1}{2}}

\frac{1}{60} \cdot \frac{1}{2} = \frac{1}{120}

= x^{\frac{1}{120}}

34.416 e^{- 0.18}

e^{- 2 \times 0}

(e^{2})^{l n (x)}

3 \times x + 5 \times x

\frac{5}{19}

What is sqrt(\sqrt[3]{\sqrt[4]{\sqrt[5]{x)}}} ?
The solution to sqrt(\sqrt[3]{\sqrt[4]{\sqrt[5]{x)}}} is \sqrt[120]{x}