# How do you simplify square Root of 72 Minus Square Root of 18?

Jul 15, 2015

 = color(green)(3sqrt2

#### Explanation:

The square root of $72$ minus square root of $18$ can be expressed as
$\sqrt{72} - \sqrt{18}$

Now,
$\sqrt{72} = \sqrt{{3}^{2} \cdot {2}^{2} \cdot 2} = 6 \sqrt{2}$

$\sqrt{18} = \sqrt{{3}^{2} \cdot 2} = 3 \sqrt{2}$

6sqrt2- 3sqrt2 = color(green)(3sqrt2