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Popular >

simplify 18^{1/2}

Solution

simplify

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

Solution

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

+1

Decimal

4.24264 \dots

Solution steps

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

Prime factorization of

18 : 2 \cdot 3^{2}

= (2 \cdot 3^{2})^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 \cdot 3^{2})^{\frac{1}{2}} = 2^{\frac{1}{2}} (3^{2})^{\frac{1}{2}}

= 2^{\frac{1}{2}} (3^{2})^{\frac{1}{2}}

(3^{2})^{\frac{1}{2}} = 3

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

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Frequently Asked Questions (FAQ)

What is 18^{1/2} ?
The solution to 18^{1/2} is 2^{1/2}*3