Find `a` and `b` if `(3+sqrt2)/(3-sqrt2) = a+bsqrt2`

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

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

Find the value of m and n : if : ( 3+ sqrt2 )/( 3- sqrt2) = m + n sqrt2

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)

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

Find the values of a and b in each of the (5+3sqrt(2))/(5-3sqrt(2))= a+b sqrt(2)

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

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)

Let a,b inQ"such that"(39sqrt2-5)/(3-sqrt2)=a+bsqrt2, then (A) sqrt((b)/(a)) is a rational number (B) b and a are coprime rational numbers (C) b-a is a composite number (D) sqrt(a+b) is a rational number