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

The solution to \sqrt[4]{\sqrt[3]{sqrt(4)}} is \sqrt[12]{2}

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

simplify

Decimal Notation

1.05946 \dots

Solution steps

Apply radical rule:

= (4^{\frac{1}{6}})^{\frac{1}{4}}

Apply exponent rule:

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

= 4^{\frac{1}{6} \cdot \frac{1}{4}}

\frac{1}{6} \cdot \frac{1}{4} = \frac{1}{24}

= 4^{\frac{1}{24}}

\frac{x + 1}{x - 1}

e^{- s t} (e^{t})

(a^{2} b^{4}) (a^{5} b)

s (s + 1)^{2} (s + 10)^{2}

e^{- 2 \cdot 1}

What is \sqrt[4]{\sqrt[3]{sqrt(4)}} ?
The solution to \sqrt[4]{\sqrt[3]{sqrt(4)}} is \sqrt[12]{2}