SOLUTION: Rationalize the denominator and simplify a) (r-q) /(√2-3) Thanks so much in advance:)

Algebra ->  Radicals -> SOLUTION: Rationalize the denominator and simplify a) (r-q) /(√2-3) Thanks so much in advance:)      Log On


   

Question 815248: Rationalize the denominator and simplify
a) (r-q) /(√2-3)
Thanks so much in advance:)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Take advantage of Difference of Squares.
%28sqrt%282%29-3%29%28sqrt%282%29%2B3%29=2-3%5E2 which is obviously rational.

Multiply both the numerator AND the denominator by sqrt%282%29%2B3.