Question

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

Answer 1

`(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))`