How do you simplify #sqrt270 #?

1 Answer
Alan P.
Apr 10, 2016

#sqrt(270) = 3sqrt(30)#

Explanation:

#sqrt(270) =sqrt(9xx30)#

#color(white)("XXX")=sqrt(3^2xx30)#

#color(white)("XXX")=sqrt(3^2)xxsqrt(30)#

#color(white)("XXX")=3sqrt(30)#

#color(white)("XXX")30# does not contain any factors which are squares
#color(white)("XXX")#and therefore #sqrt(30)# can not be reduced further;

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