What is \sqrt[4]{sqrt(\sqrt[3]{6)}} ?

The solution to \sqrt[4]{sqrt(\sqrt[3]{6)}} is \sqrt[24]{6}

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simplify \sqrt[4]{sqrt(\sqrt[3]{6)}}

simplify

Decimal Notation

1.07751 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 6^{\frac{1}{24}}

x^{2} d x^{2} x y d y

33 x^{2} y^{3} x

600 (43)^{- 0.5}

- 2 z^{3} (y - 2)^{2} (x - 1)^{2}

(\frac{2}{4 + π})^{- 1}

What is \sqrt[4]{sqrt(\sqrt[3]{6)}} ?
The solution to \sqrt[4]{sqrt(\sqrt[3]{6)}} is \sqrt[24]{6}