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Popular >

simplify (\sqrt[4]{20})^2

Solution

simplify

Solution

25

+1

Decimal Notation

4.47213 \dots

Solution steps

Apply radical rule:

= (2 0^{\frac{1}{4}})^{2}

Apply exponent rule:

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

= 2 0^{\frac{1}{4} \cdot 2}

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

= 2 0^{\frac{1}{2}}

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

= 20

Prime factorization of

20 : 2^{2} \cdot 5

= 2^{2} \cdot 5

Apply radical rule:

= 5 2^{2}

Apply radical rule:

2^{2} = 2

= 25

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{20})^2 ?
The solution to (\sqrt[4]{20})^2 is 2sqrt(5)