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\\\\5184=2^6\cdot81=(2^3)^2\cdot9^2=8^2\cdot9^2=(8\cdot9)^2=72^2\\\\ √(5184) = √(72^2) =72\\\\Ans.\ 72`

Answer 2

`5184|2\\2592|2\\1296|2\\.648|2\\.324|2\\.162|2\\.\ \ 81|3\\.\ \ 27|3\\.\ \ \ \ 9|3\\.\ \ \ \ 3|3\\.\ \ \ \ 1|\\\\5184=2^6*3^4\\\\√(5184)=√(2^6*3^4)=√(2^6)*√(3^4)=2^3*3^2=8*9=72`