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

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 . If (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)= a +b sqrt(30 )

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 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 in each of the following (4+3sqrt5)/(4-3sqrt5)=a+bsqrt5

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

If (4+2sqrt5)/(4-3sqrt5) = a+bsqrt5 ,then

Find a and b . If (4+ sqrt5)/( 2+sqrt5) = a+bsqrt5.

Find the value of m and n : if : ( 5+ 2sqrt3)/( 7+ 4sqrt3) = m + n sqrt3

Find the values of a and b in each of the following (7+sqrt5)/(7-sqrt5)-(7-sqrt5)/(7+sqrt5)=a+(7sqrt5b)/11