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Popular >

simplify \sqrt[4]{18^2}

Solution

simplify

Solution

32

+1

Decimal Notation

4.24264 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

= 18

Prime factorization of

18 : 2 \cdot 3^{2}

= 3^{2} \cdot 2

Apply radical rule:

= 2 3^{2}

Apply radical rule:

3^{2} = 3

= 32

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{18^2} ?
The solution to \sqrt[4]{18^2} is 3sqrt(2)