Question

6 by root 5 + root 3

Answer 1

$\frac{6}{ \sqrt{5} + \sqrt{3} } \\ \frac{6}{ \sqrt{5} + \sqrt{3} } \times \frac{ \sqrt{5 } - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ = \frac{6 \sqrt{5} - 6 \sqrt{3} }{5 - 3} \\ = \frac{6 \sqrt{5} - 6 \sqrt{3} }{2}$
$= 3 \sqrt{5} - 3 \sqrt{3}$