Question

Simplify 2root3 / root3-root2 + 3root2 / root3 + root2

Answer 1

Ur answer is in the above pic ...hope it helps u ...please mark as brainliest.

Answer 2

Given :-

{2√3/(√3 - √2) } + {3√2/(√3 + √2) }

=> { 2√3 x (√3 + √2) / (√3 - √2)(√3 + √2) } + {3√2 x (√3 - √2) / (√3 + √2)(√3 - √2) }

=> { 6 + 2√6 / (√3)² - (√2)² } + { 3√6 - 6 / (√3)² - (√2)² }

[ By identity :- (a+b)(a-b) = a² - b² ]

=> { 6 + 2√6 / 3 -1 } + { 3√6 - 6 / 3 - 1 }

=> 6 + 2√6 + 3√6 - 6

=> 2√6 + 3√6

=> √6 ( 2 + 3 )

=> √6 (5)

=> 5√6

Hope it helped you...