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)