`(4+sqrt(2))/(2+sqrt(2))=a-sqrt(b)`

simplify the expression (sqrt(4)+sqrt(2))/(sqrt(2)+sqrt(4))

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

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

((2-sqrt(2))(2+sqrt(2)))/(4-2sqrt(2))

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)

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

Find a and b if both a and b are rational.(sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=a-b sqrt(6)

If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) then bx^(2)+b =