Find the values of `a` and `b`
`(sqrt5-1)/(sqrt5+1)+(sqrt5+1)/(sqrt5-1)=a+bsqrt5`

(sqrt2 + 1)/sqrt5

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)=a+b sqrt(5)

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)

Find the value of a and b if (7+3sqrt(5))/(3+sqrt(5))-(7-3sqrt(5))/(3-sqrt(5)) =a + bsqrt(5)

Find the values of a and b such that (7+3sqrt5)/(3+4sqrt5)=a+bsqrt5

Find the value of a and b if (i)(sqrt(3)+1)/(sqrt(3)-1)=a+bsqrt(3)" "(ii)(5+2sqrt(3))/(5-2sqrt(3))=a+bsqrt(3)

Find the value of tan ( 1/2 cos ^(-1) . sqrt5/3)

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)

Find the value of (1)/(1+sqrt(3))+(1)/(sqrt(3)+sqrt(5))+...+(1)/(sqrt(23)+sqrt(25))

sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}