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

Jul 25, 2016

$- 7 + 5 \sqrt{2}$

#### Explanation:

you can multiply numerator and denominator by $1 - \sqrt{2}$

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

$\frac{3 - 3 \sqrt{2} - 2 \sqrt{2} + 4}{1 - 2}$

$\frac{7 - 5 \sqrt{2}}{-} 1$

$- 7 + 5 \sqrt{2}$