Question

Simplify
$( \sqrt{7} + \sqrt{3})( \sqrt{5} - \sqrt{3} )$
​

Answer 1

$\bf \huge \underbrace{Answer : } \\ \\ \sf \implies \: ( \sqrt{7} + \sqrt{3} )( \sqrt{5} - \sqrt{3} ) \\ \\ \sf \implies \: \sqrt{5} ( \sqrt{7} + \sqrt{3} ) - \sqrt{3} ( \sqrt{7} + \sqrt{3} ) \\ \\ \sf \implies \: \sqrt{35} + \sqrt{15} - \sqrt{21} - 3$

Answer 2

$( \sqrt{7} + \sqrt{3} )( \sqrt{5} - \sqrt{3} )$

$= \sqrt{7} ( \sqrt{5} - \sqrt{3} ) + \sqrt{3} ( \sqrt{5} - \sqrt{3} )$

$= \sqrt{35} - \sqrt{21} + \sqrt{15} - 3$