What is sqrt(\sqrt[3]{\sqrt{27)}} ?

The solution to sqrt(\sqrt[3]{\sqrt{27)}} is \sqrt[4]{3}

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simplify sqrt(\sqrt[3]{\sqrt{27)}}

simplify

Decimal Notation

1.31607 \dots

Solution steps

Apply radical rule:

= (2 7^{\frac{1}{6}})^{\frac{1}{2}}

Apply exponent rule:

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

= 2 7^{\frac{1}{6} \cdot \frac{1}{2}}

\frac{1}{6} \cdot \frac{1}{2} = \frac{1}{12}

= 2 7^{\frac{1}{12}}

a^{4} (3 a^{3})

e^{- t} \cdot e^{6}

140000 e^{- (0.11) (30)}

x - 5 a x + 3 a

0.999 \cdot (49 \cdot 1 0^{- 9})

What is sqrt(\sqrt[3]{\sqrt{27)}} ?
The solution to sqrt(\sqrt[3]{\sqrt{27)}} is \sqrt[4]{3}