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Popular >

simplify (\sqrt[4]{8})^2

Solution

simplify

Solution

22

+1

Decimal Notation

2.82842 \dots

Solution steps

Apply radical rule:

= (8^{\frac{1}{4}})^{2}

Apply exponent rule:

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

= 8^{\frac{1}{4} \cdot 2}

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

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

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

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

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

= 2^{2} \cdot 2

Apply radical rule:

= 2 2^{2}

Apply radical rule:

2^{2} = 2

= 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)