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

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

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

simplify

Decimal Notation

1.06935 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{8}})^{\frac{1}{3}}

Apply exponent rule:

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

= 5^{\frac{1}{8} \cdot \frac{1}{3}}

\frac{1}{8} \cdot \frac{1}{3} = \frac{1}{24}

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

e^{- t} \cdot f (t)

x (x - 1) (x - 2)

e^{- 3 y} (2 x)

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