Question

CAN ANYONE ANSWER THIS FAST ?!

Answer 1

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

$\frac{5+2\sqrt{15} + 3}{5-3}$ {(a+b)²= a²+2ab+b², (a+b) (a-b) = a²-b²}

$\frac{8+2\sqrt{15} }{2}$  {Cancel 2 and 8}

$4+2\sqrt{15}$

a+b√15 = 4+2√15