Question

Simplify each expression

Answer 1

$(\sqrt{6} - \sqrt{5} )( \sqrt{10} + \sqrt{3} )$

$= ( \sqrt{6} )( \sqrt{10} ) + ( \sqrt{6})( \sqrt{3} ) - ( \sqrt{5} )( \sqrt{10}) - ( \sqrt{5} )( \sqrt{3})$

$= \sqrt{60} + \sqrt{18} - \sqrt{50} - \sqrt{15}$

$= 2\sqrt{15} + 3\sqrt{2} - 5\sqrt{2} - \sqrt{15}$

$= \sqrt{15} -2 \sqrt{2}$