How do you simplify #(sqrt5)/(sqrt5-sqrt3)#?
Multiply and divide by
Apply the distributive property
Take your pick.
These days, it may be simplest to just use a calculator to complete the expression. But, for purposes of demonstration, we multiply by a radical factor just as we would with another number.
Multiply the denominator and numerator by the same expression as the denominator but with the opposite sign in the middle. This expression is called the conjugate of the denominator.