# How do you simplify sqrt(a^3)?

Jun 7, 2016

It is ${a}^{\frac{3}{2}}$

#### Explanation:

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• All you have to do is apply this rule: $\sqrt{{a}^{m}} = {a}^{\frac{m}{n}}$
(Assuming a≥0)

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• $\sqrt{{a}^{3}}$ is same as $\sqrt{{a}^{2}} \cdot \sqrt{a}$

• This can be simplified
to $a \sqrt{a}$

• Which is then equal to ${a}^{\frac{3}{2}}$

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$n$ above $\sqrt{{a}^{m}}$