The sum of given function is equal to [tex]4x\sqrt[3]{2y}+12x^{2} y\sqrt[3]{2y^{2} }[/tex]
Option A is correct.
Cube Root :
Given function is, [tex]2(\sqrt[3]{16x^{3}y } )+4(\sqrt[3]{54x^{6}y^{5} } )[/tex]
As we know that,
[tex]\sqrt[3]{16x^{3} y} =2x\sqrt[3]{2y} \\\\\sqrt[3]{54x^{6}y^{5} }=3x^{2} y\sqrt[3]{2y^{2} }[/tex]
Substituting values in given function.
[tex]2(2x\sqrt[3]{2y} )+4(3x^{2} y\sqrt[3]{2y^{2} } )\\\\=4x\sqrt[3]{2y}+12x^{2} y\sqrt[3]{2y^{2} }[/tex]
Therefore, option A is correct.
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