Find `a` and `b` if `(6+sqrt3)/(6-sqrt3) = a+bsqrt3`

(2) Find a and b if (5-sqrt6)/(5+sqrt6) =a+bsqrt 6

(i) Find a and b when (3+ sqrt(7)) /(3-sqrt(7))= (a+bsqrt(7))

Find the values of a and b in each of the (2+sqrt(3))/(2-sqrt(3))= a+ bsqrt(3)

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)

In each of the following determine rational number a\ a n d\ b : (i) (sqrt(3)-1)/(sqrt(3)+1)=a-bsqrt(3) (ii) (4+\ sqrt(2))/(2+sqrt(2))=a-sqrt(b)

Find the values of a and b in each of the (3)/(sqrt(3)-sqrt(2))= a sqrt(3)-bsqrt(2)

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

Find the values of a and b if : (2sqrt(3)+3sqrt(2))/(2sqrt(3)-3sqrt(2))=a+bsqrt(6)

In each of the following determine rational number a\ a n d\ b : (i)\ (3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2) (ii)\ (5+3sqrt(3))/(7+4sqrt(3))=a+bsqrt(3)

Rationlise the denominator and simplify: ( 12sqrt2)/( sqrt3+ sqrt6)