Solve `(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(5)`

Solve (sqrt(5)+sqrt(3)i)/(sqrt(5)+sqrt(3)i)

(sqrt(3)-sqrt(5))(sqrt(5)+sqrt(3))

(sqrt(3)-sqrt(5))(sqrt(5)+sqrt(3))

Evaluate (sqrt(5)-sqrt(3))/(sqrt(5)-sqrt(3))

What is the value (sqrt(5)-sqrt(3))/(sqrt(5) + sqrt(3)) - (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) ?

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)

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(2)), then x+y+xy=9(b)5(c)17(d)7, then

(sqrt(5)-2)(sqrt(3)-sqrt(5))