Question

How do you simplify $9^{\frac{1}{2}}$?

Answer 1

Simplify the given expression:

$9^{\frac{1}{2}}={\left(3^2\right)}^{\frac{1}{2}}$ $\left[\because 9=3^2\right]$

$={\left(3\right)}^{2\times \frac{1}{2}}$ $\left[\because {\left(a^m\right)}^n=a^{m\times n}\right]$

$\Rightarrow 9^{\frac{1}{2}}$$=3$

Hence, the simplified form of $9^{\frac{1}{2}}$ is $3$.