The correct answer is [tex]4\sqrt[3]{6}[/tex] which is option B.
What is radical?
The symbol [tex]\sqrt[n]{x}[/tex] indicates a root which is called as radical and it is read as x radical n or nth root of x.
How to simply the radical in the given expression?
Factor the terms of numerator of the given expression.
[tex]\frac{4\cdot8\sqrt[3]{3\cdot6y} }{8\sqrt[3]{3y} }[/tex]
On dividing the common factors we get,
[tex]4\sqrt[3]{6}[/tex]
Therefore, the simplified expression for the given expression is [tex]4\sqrt[3]{6}[/tex] which is option B.
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