Question

HELP!

$\frac{( \sqrt{3} + \sqrt{5} )}{3} : \frac{4}{( 2\sqrt{5}- \sqrt{12} ) }$

Answer 1

{(√3 + √5)/2 }÷ {(4)/(2√5 - √12)} =
= {(√3 + √5)/2}.{(2√5 - √12)/4} = {(√3 + √5).(2√5 -2√3)}/(2.4)=
= {(√3+ √5).2.(√5 - √3)}/2.4 = {(√5)²-(√3)²}/4 = (5-3)/4 = 2/4 = 1/2