Multiply: `(sqrt5+sqrt7)(sqrt5+sqrt7)`

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

Multiply 6sqrt(5) by 2sqrt(5) .

2sqrt5 - sqrt5 = sqrt5

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

Find: (sqrt7 +sqrt3)(3-sqrt3)

(3-sqrt7)(3+sqrt7)=?

If sqrt (7 sqrt (7 sqrt7 sqrt7 sqrt7)) = 7 ^(x) then find the value of x

(iii) (sqrt 5+ sqrt 3)/(sqrt5-sqrt3)+(sqrt5-sqrt3)/(sqrt5+sqrt3) =?

Simplify : (\sqrt 5 - \sqrt 3)/(\sqrt 3 + \sqrt 5) \times (\sqrt 5 - \sqrt 3)/(\sqrt 3 -\sqrt 5)