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

The solution to sqrt(\sqrt[3]{\sqrt[4]{5)}} is \sqrt[24]{5}

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

simplify

Decimal Notation

1.06935 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{12}})^{\frac{1}{2}}

Apply exponent rule:

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

= 5^{\frac{1}{12} \cdot \frac{1}{2}}

\frac{1}{12} \cdot \frac{1}{2} = \frac{1}{24}

= 5^{\frac{1}{24}}

(e^{2} - 1)^{- 1}

- t^{3} e^{- 2 t} u

e^{- a} \cdot e^{a}

e^{- x^{6}}

2.51 \cdot 1 0^{- 2}

What is sqrt(\sqrt[3]{\sqrt[4]{5)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[4]{5)}} is \sqrt[24]{5}