Question

Rationalise the denominator and simplify :
(1) √11-√7/√11+√7
(2) 4√3+5√2/√48+√18​

Answer 1

Answer:

(1) √11-√7/√11+√7

= (√11-√7)(√11-√7)/(√11+√7)(√11-√7)

= (√11-√7)^2/√11^2-√7^2. [(a^2-b^2)=(a+b)(a-b) ]

= (√11^2-2*√11*√7+√7^2)/11-7

= (11-√77+7)/4

= 18-√77/4