Question

2). Rationalize the denominator​

Answer 1

Please see the attachment

Answer 2

Question :

3/√6 - √7

=> ( 3 x √6 + √7 )/(√6 - √7 ) x ( √6 + √7 )

=> ( 3√6 + 3√7) / (√6)² - (√7)²

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

=> (3√6 +3√7 ) / 6 - 7

=> 3√6 + 3√7 / -1

=> -3√6 - 3√7

=> -3 ( √6 + √7 )

Hope it helped you...