" If "(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15)" then find ia andb "

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

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

If (5 sqrt 2+3 sqrt 3)-(6 sqrt 2-7 sqrt 3)=a sqrt 2+b sqrt 3 then find a and b.

x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) then find x^(2)+y^(2)=?

If both a and b are rational numbers,find the values of a and b in each of the following equalities: (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15)

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)

Find (sqrt 3 - sqrt 5)(sqrt 5+ sqrt3)

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: (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))=a+b\ sqrt(15)

If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)),y=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) find the value of (x-y)^(2)