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Mathematics 14 Online
OpenStudy (anonymous):

SQUARE ROOT OF 4N^3

OpenStudy (luigi0210):

\[\sqrt{4n^3}=2n \sqrt{n}\]

OpenStudy (anonymous):

HOW U GET THAT

OpenStudy (luigi0210):

well the square root of 4 is 2 so you can bring that out and since there are 3 n's, you can bring one of them out

OpenStudy (anonymous):

smarty:)

OpenStudy (anonymous):

How come u can just get 1 of the n's out?

OpenStudy (anonymous):

#confused

OpenStudy (luigi0210):

it's like \[\sqrt{4}=\sqrt{2*2}\] \[\sqrt{n^3}=\sqrt{(n*n)*n}\]

OpenStudy (anonymous):

ohh ok since the s ns are sort of like perfect swuares cuz 2 is a perfect sqaure the 3 is taken out?

OpenStudy (luigi0210):

I have a hard time reading that ^_^'

OpenStudy (jhannybean):

\[\large \sqrt{4n^3}= \sqrt{\color{red}{2*2}*\color{blue}{n*n}*n} \implies 2n \sqrt{n}\]

OpenStudy (luigi0210):

pretty much what the smartypants above me showed :P

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