Solve
`(5+sqrt3)/(5-sqrt3)=a+bsqrt2`

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

3/(sqrt3-sqrt2)=asqrt3-bsqrt2

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

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 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)

find the value (5+sqrt(6))/(3-sqrt(6))=a+bsqrt(6)

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

(2+sqrt3)/2 + (5-sqrt3)/3

(sqrt5+sqrt3)/(sqrt5-sqrt3)=

If a and b are two rational numbers and (2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3) , what is the value of b ?