# What is the square root of 2.25?

Nov 13, 2015

$1.5$

#### Explanation:

${15}^{2} = 225$, so $2.25 = \frac{225}{100} = \frac{225}{{10}^{2}}$

and $\sqrt{2.25} = \sqrt{\frac{{15}^{2}}{{10}^{2}}} = \frac{15}{10} = 1.5$

Nov 13, 2015

Alternative approach.
$\sqrt{2.25} \to \sqrt{\frac{9}{4}} \to \frac{\sqrt{9}}{\sqrt{4}} \to \frac{3}{2} \to 1.5$

#### Explanation:

Some situations one way works well and at another time it is not so good. To have several approaches is good