Question

I am looking for the square root of 5184 Thanks.

Answer 1

$5184|2\\2592|2\\1296|2\\.648|2\\.324|2\\.162|2\\.\ \ 81|3\\.\ \ 27|3\\.\ \ \ \ 9|3\\.\ \ \ \ 3|3\\.\ \ \ \ 1|\\\\5184=2^6\times3^4\\\\\sqrt{5184}=\sqrt{2^6\times3^4}=\sqrt{2^6}\times\sqrt{3^4}=2^3\times3^2=8\times9=72$

Answer 2

$5184\ |\ \ :2\\2592\ |\ \ :2\\1296\ |\ \ :2\\648\ \ |\ \ :2\\324\ \ |\ \ :2\\162\ \ |\ \ :2\\81\\\\5184=2^6\cdot81=(2^3)^2\cdot9^2=8^2\cdot9^2=(8\cdot9)^2=72^2\\\\ \sqrt{5184} = \sqrt{72^2} =72\\\\Ans.\ 72$