Answer
$17\sqrt {2}-15\sqrt5$
Work Step by Step
$2\sqrt {50}-3\sqrt {125}+\sqrt {98}$ Factor.
$2\sqrt {25}\cdot\sqrt {2}-3\sqrt {25}\cdot\sqrt5+\sqrt{49}\cdot\sqrt{2}$ Use the product rule and simplify.
$10\sqrt {2}-15\sqrt 5+7\sqrt2$ Combine like radicals.
$17\sqrt {2}-15\sqrt5$