## Week 4-Multiplying and Dividing Radicals

Now on week four we started to look at multiplying and dividing radicals.

Let do an example:

$(2\sqrt{3} + 3\sqrt{5}) (\sqrt{3} - 2\sqrt{5})$

First multiply them together and remember unlike adding and subtracting you don’t need to have the same radicand to do the equation.

$2\sqrt{9} - 4\sqrt{15} + 3\sqrt{15} - 6\sqrt{25}$

$2\sqrt{9} - \sqrt{15} - 6\sqrt{25}$
$\sqrt{36} - \sqrt{15} - (6)(5)$ $6 - \sqrt{15} - 30$
Final answer: $-24 - \sqrt{15}$