What is sqrt(\sqrt[3]{\sqrt[4]{3234)}} ?

The solution to sqrt(\sqrt[3]{\sqrt[4]{3234)}} is \sqrt[24]{3234}

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simplify sqrt(\sqrt[3]{\sqrt[4]{3234)}}

simplify

Decimal Notation

1.40035 \dots

Solution steps

Apply radical rule:

= (323 4^{\frac{1}{12}})^{\frac{1}{2}}

Apply exponent rule:

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

= 323 4^{\frac{1}{12} \cdot \frac{1}{2}}

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

= 323 4^{\frac{1}{24}}

(m + 2)^{3} (m - 2)^{3}

y^{2} x^{2}

4.5 \cdot 4.5 3

(- 4)^{- 2}

What is sqrt(\sqrt[3]{\sqrt[4]{3234)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[4]{3234)}} is \sqrt[24]{3234}