Simplify : (i) `(sqrt(5)+sqrt(2))^2` (ii) `(sqrt(11)-sqrt(5))^2`

Explanation

(i) `(sqrt(5)+sqrt(2))^2`
we know,
`(a+b)^2=a^2+b^2+2ab`
`(sqrt(5)+sqrt(2))^2=(sqrt(5))^2+(sqrt(2))^2+2xxsqrt5xxsqrt2`
`=5+2+2sqrt10=7+2sqrt10`
(ii) `(sqrt(11)-sqrt(5))^2`
we know,
`(a-b)^2=a^2+b^2-2ab`
`(sqrt(11)-sqrt(5))^2=(sqrt(11))^2+(sqrt(5))^2-2xxsqrt11xxsqrt5`
`=11+5-2sqrt55=16-2sqrt55`