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....#