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

The solution to sqrt(\sqrt{2\sqrt[3]{2)}} is cube root of 2

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

simplify

Decimal Notation

1.25992 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

= 2^{\frac{1}{4} + \frac{1}{12}}

Join

\frac{1}{4} + \frac{1}{12} : \frac{1}{3}

e^{- 1}

\frac{a}{2 b ^{7}}

(3 x^{3}) (6 x^{6})

3 (4)^{3} e^{- (4)}

25000 \cdot (\frac{0.03}{1 - ( 1 + 0.03 )})^{- 12}

What is sqrt(\sqrt{2\sqrt[3]{2)}} ?
The solution to sqrt(\sqrt{2\sqrt[3]{2)}} is cube root of 2