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OpenStudy (anonymous):
OpenStudy (anonymous):
@SolomonZelman
OpenStudy (anonymous):
Do u wanna know like how to solve it or the answer?
OpenStudy (anonymous):
solve it
OpenStudy (anonymous):
@sleepyjess
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OpenStudy (solomonzelman):
oh, this site loves me. (disconnected)
\(\large\color{black}{ \displaystyle \sqrt{864} }\)
the sum of digits is
\(\large\color{black}{ \displaystyle 8+6+4=18 }\)
(so if sum of digits is divisible by 9, the number also is divisible by 9.
and it is an even number, so you can take 18 out.
\(\large\color{black}{ \displaystyle 864 \div 18 =48 }\)
So,
\(\large\color{black}{ \displaystyle \sqrt{864} \div \sqrt{18} =\sqrt{48} }\)
OpenStudy (solomonzelman):
and 48 is 16 times 3.
OpenStudy (solomonzelman):
So this is how you can brake it down.
\(\large\color{black}{ \displaystyle \sqrt{864} = \sqrt{18} \times \sqrt{48} }\)
\(\large\color{black}{ \displaystyle \sqrt{864} = \sqrt{18} \times \sqrt{16}\times \sqrt{3} }\)
\(\large\color{black}{ \displaystyle \sqrt{864} = \sqrt{9} \times \sqrt{2}\times \sqrt{16}\times \sqrt{3} }\)