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Answer :

Let's multiply the numbers given:

[tex]\begin{gathered} (4\sqrt{2})(6\sqrt{18})=(4\sqrt{2})(6\sqrt{9\cdot2}) \\ =(4\sqrt{2})(6\cdot3\sqrt{2}) \\ =(4\sqrt{2})(18\sqrt{2}) \\ =(72)(2) \\ =144 \end{gathered}[/tex]

Therefore, the answer is 144