What is sqrt(\sqrt[3]{125)} ?

The solution to sqrt(\sqrt[3]{125)} is square root of 5

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simplify sqrt(\sqrt[3]{125)}

simplify

5

Decimal Notation

2.23606 \dots

Solution steps

Apply radical rule:

= (12 5^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

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

= 12 5^{\frac{1}{3} \cdot \frac{1}{2}}

\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}

= 12 5^{\frac{1}{6}}

Factor the number:

125 = 5^{3}

Apply exponent rule:

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

= 5

8.1 \cdot 1 0^{- 1}

π (1 0^{11})^{2}

2 x e^{2 x} \cdot e^{2 x}

e^{- 1.31}

What is sqrt(\sqrt[3]{125)} ?
The solution to sqrt(\sqrt[3]{125)} is square root of 5