# How do you simplify sqrt100 - sqrt130 + sqrt130 - sqrt169?

Sep 19, 2015

$\sqrt{100} - \sqrt{130} + \sqrt{130} - \sqrt{169} = - 3$
The two middle terms, $- \sqrt{130}$ and $\sqrt{130}$, cancel each other out and can be removed.
$\sqrt{100} - \sqrt{169} = \sqrt{5 \cdot 5 \cdot 2 \cdot 2} - \sqrt{13 \cdot 13} = \sqrt{{5}^{2}} \sqrt{{2}^{2}} - \sqrt{{13}^{2}} = 5 \cdot 2 - 13 = - 3$