" 4.Find the values of a and b,if "(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2)

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

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 (5+3sqrt(2))/(5-3sqrt(2))= a+b sqrt(2)

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

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

12.Rationalise and find the value of' "a'" and "'b'" ; (i) "(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3), (ii) (sqrt(5)-2)/(sqrt(5)+2)=a+b sqrt(5)

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

find a and b (6)/(sqrt(3)-sqrt(2))=a sqrt(3)-b sqrt(2)

Find the values of a and b . If (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)= a +b sqrt(30 )

If both a and b are rational number, find the values of a and b in the following (sqrt2+sqrt3)/(3sqrt2-2sqrt3)=a-bsqrt6