How do you simplify sqrt(a^3)?

1 Answer
Jun 7, 2016

It is a^(3/2)

Explanation:

color(blue)"How and Why?"

  • 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)*sqrt(a)

  • This can be simplified
    to asqrta

  • Which is then equal to a^(3/2)

color(green)"Rule we applied should contain"

n above sqrt(a^m)