if ` (5+sqrt6)/(5-sqrt6) = a+bsqrt6`
find the value of a and b

(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)) .

If a=1+sqrt 7 , find the value of -6/a

If a+bsqrt(5)=(4-3sqrt(5))/(4+3sqrt(5)) , then find the values of a and b.

1. Find (sqrt6-1)(-sqrt6-1)

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

If x= 5 - 2 sqrt6 , find the value of : x^(2) +(1)/(x^(2))

If both a and b are rational numbers, find the values of a and b in each of the following equalities : (sqrt(3)-1)/(sqrt(3)+1)=a+bsqrt(3)

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (5+2\ sqrt(3))/(7+4\ sqrt(3))=a+bsqrt(3)

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (5+2\ sqrt(3))/(7+4\ sqrt(3))=a+bsqrt(3)