What is sqrt(\sqrt[3]{\sqrt[4]{2)}} ?

The solution to sqrt(\sqrt[3]{\sqrt[4]{2)}} is \sqrt[24]{2}

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simplify sqrt(\sqrt[3]{\sqrt[4]{2)}}

simplify

Decimal Notation

1.02930 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 2^{\frac{1}{24}}

2 x^{2} + 18 x - 20

(3 x + 4) (2 x - 3) = 0

14 a c d - 7 c d + 21 c^{2} d^{2}

8 x^{2} - 14 x + 3 = 0

10 x - x^{2} - 16 = 0

What is sqrt(\sqrt[3]{\sqrt[4]{2)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[4]{2)}} is \sqrt[24]{2}