Question

Please answere the following question

Answer 1

1.

$\frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} }$

SOLUTION:

$= ( \sqrt{3 } + \sqrt{2} ) \times ( \sqrt{3} + \sqrt{2} ) \\ = ( \sqrt{3} + \sqrt{2} ) {}^{2} \\ = 3 + 2 \sqrt{6 } + 2 \\ = 5 + 2 \sqrt{6}$

2.

$\frac{ \sqrt{5} + \sqrt{3} }{2 \sqrt{5} - 3 \sqrt{3} }$

SOLUTION:

$= \frac{( \sqrt{5} + \sqrt{3} \ ) \times (2 \sqrt{5} + 3 \sqrt{3} )}{ - 7} \\ = \frac{10 + 3 \sqrt{15} + 2 \sqrt{15} + 9}{ - 7} \\ = - \frac{19 + 5 \sqrt{15} }{ - 7}$

Answer 2

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