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

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Answer 1 · 2016-08-06T20:15:25

$=+-120$

$sqrt14400$
$=+-120$

Answer 2 · 2016-08-06T20:57:11

$120$

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

$sqrt(1color(white)(0)44color(white)(0)00)$ 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 $sqrt(1color(white)(0)44)$

$sqrt144 = 12$
$sqrt1.44 = 1.2$
$sqrt0.0144 = 0.12$

$sqrt(1color(white)(0)44color(white)(0)00) = 120$

$sqrt(1color(white)(0)44color(white)(0)00color(white)(0)00) = 1,200$

Note that $sqrt14 = 3.794733....$

$sqrt1400 = 37.94733....$

$sqrt140000 = 379.4733....$