What is sqrt(\sqrt{\sqrt{20)}} ?

The solution to sqrt(\sqrt{\sqrt{20)}} is \sqrt[8]{20}

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simplify sqrt(\sqrt{\sqrt{20)}}

simplify

20

Decimal Notation

1.45421 \dots

Solution steps

20

Apply radical rule:

= (2 0^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

= 2 0^{\frac{1}{4} \cdot \frac{1}{2}}

\frac{1}{4} \cdot \frac{1}{2} = \frac{1}{8}

= 2 0^{\frac{1}{8}}

e^{- 3 t s i n (5 t)}

22 e^{- 2}

(a + b)^{- n}

n^{3} (n + 1)^{3}

What is sqrt(\sqrt{\sqrt{20)}} ?
The solution to sqrt(\sqrt{\sqrt{20)}} is \sqrt[8]{20}