Simplify square root of (27z^3)/(4y^4)

Math
27z34y4
Rewrite 27z34y4 as (3z2y2)2(3z).
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Factor the perfect power (3z)2 out of 27z3.
(3z)2⋅(3z)4y4
Factor the perfect power (2y2)2 out of 4y4.
(3z)2⋅(3z)(2y2)2⋅1
Rearrange the fraction (3z)2⋅(3z)(2y2)2⋅1.
(3z2y2)2(3z)
(3z2y2)2(3z)
Pull terms out from under the radical.
3z2y23z
Combine 3z2y2 and 3z.
3z3z2y2
Simplify square root of (27z^3)/(4y^4)

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