Question

Practice: Organizing Information
Complete the chart to describe the laws of radicals.
The first column shows the law.
For the second column, I need to show with letters.
And for the last column, I need to show with numbers.

Answer 1

$\sqrt{\frac{a}{b}} = \frac{ \sqrt{a}}{ \sqrt{b}}$
You will often be asked to "rationalize the denominator," in which case
$\sqrt{\frac{a}{b}} = \frac{ \sqrt{ab}}{b}$

$\sqrt{\frac{2}{5}} = \frac{\sqrt{2}}{ \sqrt{5}} = \frac{ \sqrt{10}}{5}$