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Popular >

simplify sqrt(\sqrt[3]{8)}

Solution

simplify

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

Apply radical rule:

= (8^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

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

= 8^{\frac{1}{3} \cdot \frac{1}{2}}

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

= 8^{\frac{1}{6}}

Factor the number:

8 = 2^{3}

Apply exponent rule:

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

= 2

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt[3]{8)} ?
The solution to sqrt(\sqrt[3]{8)} is square root of 2