This week i learned about rationalizing the denominator of a radical division/fraction, which is used when theres a binomial radical denominator to make the division possible. To rationalize the denominator, you have to multiply both the numerator and denominator by the denominator’s conjugate. Multiplying by the conjugate makes the denominator a more simple number, which is easier to work with. The conjugate of a denominator will be the same as the binomial equation, except for the sign will be the opposite (+ becomes -, and vice versa). How to make the conjugate -> (√x + √y) -> (√x – √y). If the denominator is a monomial radical, you rationalize it by multiplying itself with the denominator and numerator – 7/√6 –> 7 x √6/√6 x √6. This has the same purpose as multiplying by the conjugate, to make the question simpler.
