# Math 11 Pre-Calc, Week 4

This week in Math we learned about the Multiplying and Dividing Radicals. so for an example of Multiplying would be 2 $\sqrt{3}$ x 5 $\sqrt {2}$ = 10 $\sqrt {6}$. as you can see multiplying is very easy and its just multiplying straight across for, dividing similar to a fraction you cannot leave a radical in the denominator. so as an example question were going to use $\frac {2}{\sqrt {5} - \sqrt {3}}$ , so im going to show step by step on how to do the question.

1st Step: $\frac {2}{\sqrt {5} - \sqrt {3}} x \frac {\sqrt {5} + \sqrt {3}}{\sqrt {5} + \sqrt {3}}$

2nd Step: $\frac {2\sqrt{5} + 2\sqrt{3} } {\sqrt{25} + \sqrt{15} - \sqrt{15} - \sqrt {9}}$

3rd Step: $\frac {2\sqrt{5} + 2\sqrt{3} } {5-3}$

4th Step: $\frac {2\sqrt{5} + 2\sqrt{3} } {2}$

5th Step: $\sqrt{5} + \sqrt {3}$