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

The solution to sqrt(\sqrt[3]{\sqrt[3]{4)}} is \sqrt[9]{2}

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

simplify

Decimal Notation

1.08005 \dots

Solution steps

Apply radical rule:

= (4^{\frac{1}{9}})^{\frac{1}{2}}

Apply exponent rule:

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

= 4^{\frac{1}{9} \cdot \frac{1}{2}}

\frac{1}{9} \cdot \frac{1}{2} = \frac{1}{18}

= 4^{\frac{1}{18}}

999.9999800000000 \dots (7.3 \cdot 1 0^{- 3})

e^{2 x} 2 e^{2 x}

e^{2 x} \cdot (x e^{- 2 x})

(2)^{2 x - 1}

What is sqrt(\sqrt[3]{\sqrt[3]{4)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[3]{4)}} is \sqrt[9]{2}