# What is #sqrt(187200)# ?

##### 2 Answers

#### Explanation:

The square root of a non-negative number

There isn't really too much to do here. Trying to find a perfect square would be in vain, since the result is a decimal (with **six** decimal digits, mind you), so your best bet is to just use a calculator.

#### Explanation:

To simplify

#color(white)(0)187200#

#color(white)(00)"/"color(white)(00)"\"#

#color(white)(0)2color(white)(000)93600#

#color(white)(00000)"/"color(white)(00)"\"#

#color(white)(0000)2color(white)(000)46800#

#color(white)(00000000)"/"color(white)(00)"\"#

#color(white)(0000000)2color(white)(000)23400#

#color(white)(00000000000)"/"color(white)(00)"\"#

#color(white)(0000000000)2color(white)(000)11700#

#color(white)(00000000000000)"/"color(white)(00)"\"#

#color(white)(0000000000000)2color(white)(000)5850#

#color(white)(00000000000000000)"/"color(white)(00)"\"#

#color(white)(0000000000000000)2color(white)(000)2925#

#color(white)(00000000000000000000)"/"color(white)(00)"\"#

#color(white)(0000000000000000000)3color(white)(000)975#

#color(white)(00000000000000000000000)"/"color(white)(0)"\"#

#color(white)(0000000000000000000000)3color(white)(00)325#

#color(white)(0000000000000000000000000)"/"color(white)(0)"\"#

#color(white)(000000000000000000000000)5color(white)(00)65#

#color(white)(00000000000000000000000000)"/"color(white)(00)"\"#

#color(white)(0000000000000000000000000)5color(white)(000)13#

That is:

#187200 = 2^6*3^2*5^2*13#

So:

#sqrt(187200) = 2^3*3*5 sqrt(13) = 120sqrt(13)#