How do you simplify #sqrt270 #?

1 Answer
Apr 10, 2016

Answer:

#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;