Question

Simplify $8\sqrt{242}-5\sqrt{50}+3\sqrt{98}$

Answer 1

$\sqrt{242}=\sqrt{121\times 2}=11\sqrt{2}$

$\sqrt{50}=\sqrt{5\times 5\times 2}=5\sqrt{2}$

$\sqrt{98}=\sqrt{7\times 7\times 2}=7\sqrt{2}$

$8\sqrt{242}+3\sqrt{98}-5\sqrt{50}$

$=88\sqrt{2}+21\sqrt{2}-25\sqrt{2}$

$=84\sqrt{2}$