Answer
$\sqrt {\frac{a^2}{b^2}} = \frac{a}{b}$
Work Step by Step
By the formula on page 11,
$\sqrt {\frac{a^2}{b^2}} =\frac{\sqrt {a^2}}{\sqrt {b^2}} $
Because a and b are positive numbers,
$\sqrt {a^2} = a$ and $\sqrt {b^2} = b$.
Therefore,
$\sqrt {\frac{a^2}{b^2}} =\frac{\sqrt {a^2}}{\sqrt {b^2}} = \frac{a}{b}$.
