In this video, we are going to divide radical expressions.

One simple example is:
$\frac{\sqrt{25}}{\sqrt{9}}$
By simplifying the numerator and the denominator, we now have $\frac{5}{3}$

A slightly more difficult problem would be:
$\frac{\sqrt{50}}{\sqrt{18}}$
Just like the other problem, first find perfect square factors for each expression
$\frac{\sqrt{25}\times\sqrt{2}}{\sqrt{9}\times\sqrt{2}}$
Simplify each expression
$\frac{5\sqrt{2}}{3\sqrt{2}}$
And the final answer is $\frac{5}{3}$

If the expression has a radical in the denominator and a rational number in the numerator, then it is necessary to rationalize the fraction.
For example:
$\frac{3}{\sqrt{10}}$
Multiple the denominator to both the numerator and the denominator. Like terms cancel each other out so the final answer is:
$\frac{3\times\sqrt{10}}{\sqrt{10}\times\sqrt{10}}$
$\frac{3\sqrt{10}}{10}$

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Used by students across the country. Pre-Algebra, Algebra I, Geometry, & Algebra II