How to simplify square root of 98 - the square root of 50 - the square root of 72?

1 Answer
May 11, 2018

$- 4 \sqrt{2}$

Explanation:

$\sqrt{98} - \sqrt{50} - \sqrt{72} = \sqrt{49 \cdot 2} - \sqrt{25 \cdot 2} - \sqrt{36 \cdot 2}$
$= \sqrt{49} \sqrt{2} - \sqrt{25} \sqrt{2} - \sqrt{36} \sqrt{2}$
$= 7 \sqrt{2} - 5 \sqrt{2} - 6 \sqrt{2}$
$= - 4 \sqrt{2}$