Question

How do you simplify the radical expression `(3-sqrt2)/(3 +sqrt2)`?

Answer 1

Method: Rationalize the denominator

`(3 - sqrt(2))/(3 + sqrt(2))` becomes `((3 - sqrt(2))(3 - sqrt(2)))/((3 + sqrt(2))(3 - sqrt(2)))`

`=> (9 - 2(3sqrt(2)) + 2)/(9 - (2))`

`=> (11 - 6sqrt(2))/7`