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How do you simplify #sqrt(3/27y^6)#?

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Apr 13, 2015

#sqrt((3*y^6)/27)#

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

#= sqrt(((y^3)^2)/(3^2))#

In general #color(blue)(sqrt(a/b) = sqrta/sqrtb#

#= sqrt((y^3)^2)/sqrt(3^2)#

#color(green)( = y^3/3#

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