How do you simplify (2sqrt5)/(2sqrt7+3sqrt3)?

1 Answer
Oct 8, 2017

(4sqrt(35)-6sqrt(15))

Explanation:

(2sqrt(5))/(2sqrt(7)+3sqrt(3))=(2sqrt(5))/(sqrt(28)+sqrt(27))=((2sqrt(5))(sqrt(28)-sqrt(27)))/((sqrt(28)+sqrt(27))(sqrt(28)-sqrt(27)))=(4sqrt(35)-6sqrt(15))/1=(4sqrt(35)-6sqrt(15))