`(sqrt(11)+sqrt(2))/(9)=`

If (9sqrt(3)+11sqrt(2))^((1)/(3))=sqrt(a)+sqrt(b) ,where a and b are rational with a > b.Then

Evaluate : (sqrt(11)-sqrt(7))/(sqrt(11)+sqrt(7))

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

If a and b are rational numbers and (sqrt(11)-sqrt(7))/(sqrt(11) +sqrt(7))=a - b sqrt(77) . find the value of a and b.

The value of sqrt(9-2sqrt(11-6sqrt(2))) is closest to :

Simplify (sqrt(11)+sqrt(8))(sqrt(11)-2sqrt(2))

Simplify (sqrt(13)-sqrt(11))/(sqrt(13)+sqrt(11)) + (sqrt(13)+sqrt(11))/(sqrt(13)-sqrt(11))

(sqrt(10)+sqrt(11)+sqrt(12))xx(sqrt(10)+sqrt(11)-sqrt(12))xx(sqrt(10)-sqrt(11)+sqrt(12))xx(sqrt(10)-sqrt(11)-sqrt(12))

Simplify the following expressions.(i) (5+sqrt(7))(2+sqrt(5)) (ii) (5+sqrt(5))(5-sqrt(5)) (iv) (sqrt(11)-sqrt(7))(sqrt(11)+sqrt(7))

Simplify: (1)/(sqrt(11-2sqrt(30)))*(3)/(sqrt(7-2sqrt(10)))(4)/(sqrt(8+4sqrt(3)))