# How do you find the square root of 14,400?

Aug 6, 2016

$= \pm 120$

#### Explanation:

$\sqrt{14400}$
$= \pm 120$

Aug 6, 2016

$120$

#### Explanation:

To find the square root of a number, pair the digits starting from the decimal point.

$\sqrt{1 \textcolor{w h i t e}{0} 44 \textcolor{w h i t e}{0} 00}$ tells us that the square root will have 3 digits - one for each pair, or part of a pair.

You should recognise that we are actually dealing with the same digits as $\sqrt{1 \textcolor{w h i t e}{0} 44}$

$\sqrt{144} = 12$
$\sqrt{1.44} = 1.2$
$\sqrt{0.0144} = 0.12$

$\sqrt{1 \textcolor{w h i t e}{0} 44 \textcolor{w h i t e}{0} 00} = 120$

$\sqrt{1 \textcolor{w h i t e}{0} 44 \textcolor{w h i t e}{0} 00 \textcolor{w h i t e}{0} 00} = 1 , 200$

Note that $\sqrt{14} = 3.794733 \ldots .$

$\sqrt{1400} = 37.94733 \ldots .$

$\sqrt{140000} = 379.4733 \ldots .$