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QUESTION

What is the simplest radical form of the square root of 216?

##=color(blue)(6sqrt(6)##

Prime factorisation of ##216## helps us simplify the radical: ##216=sqrt(2*2*2*3*3*3)##

##=sqrt(2^2*2*3^3*3)##

##=2*3sqrt(2*3)##

##=color(blue)(6sqrt(6)##

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