How do you simplify #sqrt(169y^4)#?

1 Answer
Alan P.
Sep 11, 2015

#sqrt(169y^4) = 13y^2#

Explanation:

Since
#color(white)("XXX")13^2 = 169#
and
#color(white)("XXX")(y^2)^2 = y^4#

#sqrt(169y^4)#
#color(white)("XXX")=sqrt((13^2)*(y^2)^2)#

#color(white)("XXX")=sqrt(13^2)* sqrt((y^2)^2)#

#color(white)("XXX")= 13 * y^2#

#color(white)("XXX")= 13y^2#

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