Simplify `(sqrt11-sqrt7)(sqrt11+sqrt7)`

Simplify 14/(sqrt6-sqrt5-sqrt11)

Simplify (2/7-5/sqrt7)/(sqrt7-1/sqrt7)

(2sqrt2 - sqrt7)/(2sqrt2 + sqrt7)

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

Find the value of a and b . (sqrt11 - sqrt7 ) / (sqrt 11 + sqrt 7) = a - b sqrt 77 (i) a = 9/2 , b = 1/2 (ii) a = 2/9, b = 2/3 (iii) a = 2/5, b = 1/2 (iv) a = 9/2, b =5/2

(sqrt7-sqrt5)/(sqrt7+sqrt5)

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

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