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

The solution to sqrt(\sqrt[4]{\sqrt[3]{3)}} is \sqrt[24]{3}

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

simplify

Decimal Notation

1.04683 \dots

Solution steps

Apply radical rule:

= (3^{\frac{1}{12}})^{\frac{1}{2}}

Apply exponent rule:

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

= 3^{\frac{1}{12} \cdot \frac{1}{2}}

\frac{1}{12} \cdot \frac{1}{2} = \frac{1}{24}

= 3^{\frac{1}{24}}

3 (1 - 7)^{2}

1.2 \cdot 1 0^{- 5}

(sin (x))^{- 1}

⎩ ⎨ ⎧ [(- \frac{7}{3})^{0}]^{2} ⎭ ⎬ ⎫^{- 8}

(cos (x))^{- 1}

What is sqrt(\sqrt[4]{\sqrt[3]{3)}} ?
The solution to sqrt(\sqrt[4]{\sqrt[3]{3)}} is \sqrt[24]{3}