What is \sqrt[5]{sqrt(\sqrt{22)}} ?

The solution to \sqrt[5]{sqrt(\sqrt{22)}} is \sqrt[20]{22}

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simplify \sqrt[5]{sqrt(\sqrt{22)}}

simplify

Decimal Notation

1.16713 \dots

Solution steps

Apply radical rule:

= (2 2^{\frac{1}{4}})^{\frac{1}{5}}

Apply exponent rule:

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

= 2 2^{\frac{1}{4} \cdot \frac{1}{5}}

\frac{1}{4} \cdot \frac{1}{5} = \frac{1}{20}

= 2 2^{\frac{1}{20}}

- 6 \cdot 1 0^{- 4} (- 0.7)

(5 x y) 2 (2 x^{2} y)

(4.32 \cdot 1 0^{- 7}) \cdot 3600

e^{- θt} \cdot cos (wt) u (t)

What is \sqrt[5]{sqrt(\sqrt{22)}} ?
The solution to \sqrt[5]{sqrt(\sqrt{22)}} is \sqrt[20]{22}