Find `sqrt(2+3sqrt(-5)) + sqrt(2-3sqrt(-5))`

find sqrt((2+3)sqrt(-5))+sqrt((2-3)sqrt(-5))

(sqrt(5)-2)(sqrt(3)-sqrt(5))

Rationales the denominator and simplify: (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18))( ii) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Find the value of sqrt(3+sqrt(5))-sqrt(2+sqrt(3))

Find the value of sqrt(3+sqrt(5))-sqrt(2+sqrt(3))

4 sin 27^(0)= 1) sqrt(5+sqrt(5))+sqrt(3-sqrt(5)) 2) sqrt(5-sqrt(5))+sqrt(3+sqrt(5) 3) sqrt(5+sqrt(5))-sqrt(3-sqrt(5)) 4) sqrt(5+sqrt(5))+sqrt(3+sqrt(5)

Simplify each of the following by rationalising the denominator,(1)/(5+sqrt(2)) (ii) (5+sqrt(6))/(5-sqrt(6)) (iii) (7+3sqrt(5))/(7-3sqrt(5)) (iv) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Simplify each of the following by rationalising the denominator: (7+3sqrt(5))/(7-3sqrt(5)) (ii) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Evaluate : ( sqrt(5) + sqrt(3) )/ ( sqrt(5) - sqrt(3))

If sqrt(2)=1.414 and sqrt(5)=2.24, find the value of (3)/(8sqrt(2)+5sqrt(5))+(2)/(8sqrt(2)-5sqrt(5))