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

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

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