Find rational numbers `a` and `b` such that (i) `(sqrt2-1)/(sqrt2+1)=a+bsqrt2` (ii) `(2-sqrt5)/(2+sqrt5)=asqrt5+b` (iii) `(sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6` (iv) `(5+2sqrt3)/(7+4sqrt3)=a+bsqrt3`

(sqrt2+sqrt7)/(sqrt2-sqrt7)=a+bsqrt(14)

3/(sqrt3-sqrt2)=asqrt3-bsqrt2

(2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3)

find the values of a and b in each of the following (i) (5+2sqrt3)/(7+4sqrt3) = a-6sqrt3 (ii) (3-sqrt5)/(3+2sqrt5)= asqrt5-(19/11) (iii) (sqrt2+sqrt3)/(3sqrt2-2sqrt3)=2-bsqrt6 (iv) (7+sqrt5)/(7-sqrt5)-(7-sqrt5)/(7+sqrt5)=a+(7/11)bsqrt5

Find a and b when (5+2sqrt3)/(7+4sqrt3)=a+bsqrt3

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)

Simplify (a) (sqrt(5)+sqrt(3))/(sqrt(2)) +2 (b) (sqrt3+sqrt2)/(sqrt3+sqrt6)-4

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

Find the value of a and b in each of the following (i)(3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2)" "(ii)(sqrt(2)+1)/(sqrt(2)-1)=a-bsqrt(2)" "(iii)(5+4sqrt(3))/(5-4sqrt(3))=a-bsqrt(3)