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}

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