The goal of "rationalizing" a rational expression is to eliminate any roots (√) in the denominator. If you have a
monomial (one term) root in the denominator, such as:
√15/√3
Then you just multiply the expression by √3/√3 and you'll get √45/3 = 2√10/3, so you've eliminated the square root in the denominator. If the denominator is a
binomial - two terms added together - such as 4-√3, then you need to use the conjugate, 4+√3 to eliminate the radical in thel denominator:
Comments
like square root 5 over square root three would be square root 15 over 3