Solve
`(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2)`

(1+sqrt(2))/(3-2sqrt(2))=A sqrt(2)+B

In each of the following determine rational number a and b:(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2) (ii) (5+3sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))=a+b sqrt(6)

Solve (sqrt(2))/(sqrt(2)+sqrt(3)-sqrt(5))

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+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

Solve (sqrt3-sqrt2)(2-sqrt2)

Solve sqrt(2)sqrt(3)sqrt(5)

If a=(4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , then find the value of 3(a^(2)-b^(2)) .