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Simplify the following:

$$ \sqrt{xy(xy^3)+y^2(xy)^2}$$

A

$ (\sqrt{2})(xy^2) $

B

$ (\sqrt{2})(x^2)(y^4) $

C

$ \sqrt{(x^2)(y^4)+(x^4)(y^2)} $

D

$ (x^2)(y^4) $

E

$ (\sqrt{2})(x^2y) $

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