Solve `(sqrt(5)+2)/(sqrt(5)-2)=a+b sqrt(2)`

Solve sqrt(2)sqrt(3)sqrt(5)

12.Rationalise and find the value of' "a'" and "'b'" ; (i) "(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3), (ii) (sqrt(5)-2)/(sqrt(5)+2)=a+b sqrt(5)

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

If x=((sqrt(5)-2))/(sqrt(5)+2) and y=(sqrt(5)+2)/(sqrt(5)-2) find (i)

Solve (sqrt(2))/(sqrt(2)+sqrt(3)-sqrt(5))

(sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

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

If a= (sqrt(5) + sqrt(2))/(sqrt(5) -sqrt(2)) and b = (sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)) show that 3a^(2) + 4ab -3b^(2) = 4 +(56)/(3) sqrt(10)