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

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Answer 1 · 2015-04-06T21:37:44

Method: Rationalize the denominator

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

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

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

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