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Popular >

simplify \sqrt[4]{8^2}

Solution

simplify

Solution

22

+1

Decimal Notation

2.82842 \dots

Solution steps

8^{2} = 64

Prime factorization of

64 : 2^{6}

Apply exponent rule:

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

2^{6} = 2^{4} \cdot 2^{2}

Apply radical rule:

Apply radical rule:

= 22

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{8^2} ?
The solution to \sqrt[4]{8^2} is 2sqrt(2)