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Popular >

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

Solution

simplify

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

8 = 22

Apply radical rule:

Apply radical rule:

Apply radical rule:

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

Apply exponent rule:

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

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

= 2^{\frac{1}{3} + \frac{1}{6}}

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

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

Apply exponent rule:

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

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

= 2

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Frequently Asked Questions (FAQ)

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