How do you simplify $(3-2sqrt2)/(1+sqrt2)$ ?

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Answer 1 · 2016-07-25T19:18:52

$-7+5sqrt(2)$

you can multiply numerator and denominator by $1-sqrt(2)$

$((3-2sqrt(2))(1-sqrt(2)))/((1+sqrt(2))(1-sqrt(2))$

$(3-3sqrt(2)-2sqrt(2)+4)/(1-2)$

$(7-5sqrt(2))/-1$

$-7+5sqrt(2)$

How do you simplify (3-2sqrt2)/(1+sqrt2) (3-2sqrt2)/(1+sqrt2)?