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

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Answer 1 · 2015-04-13T08:21:23

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

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

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

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

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

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

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