Question

simplify: 3 root 3-2 root 5/3 root 3+2root5 + root 12/root5-root3

Answer 1

Ans:- (3√3-2√5)/(3√3+2√5) + √12/(√5-√3)

= (3√3-2√5)/(3√3+2√5)×(3√3-2√5)/(3√3-2√5) + √12/(√5-√3)×(√5+√3)/(√5+√3)

= (3√3-2√5)²/(3√3)²-(2√5)² + (√60+√36)/(√5)²-(√3)²

= (27 + 20 - 12√15)/(27-20) + (2√15 + 6)/(5-3)

= (47 - 12√15)/7 + (6 + 2√15)/2

= (94 - 24√15 + 42 + 14√15)/14

= 136/14 - 10√15/14

= 68/7 -5√15/7

here is your answer

hope it will help you