Answer: [tex]24\sqrt{3}[/tex], or 24 in the first blank and 3 in the second.
Step-by-step explanation:
We will multiply the two terms together.
[tex]\displaystyle (-4\sqrt{2})(-3\sqrt{6})=-4\sqrt{2}*-3\sqrt{6}=-4*-3*\sqrt{2}*\sqrt{6}=12\sqrt{12}[/tex]
Since we can only use each number once in the answer, we will simplify the square root.
[tex]\displaystyle 12\sqrt{12}=12\sqrt{4*3} =12*\sqrt{4} *\sqrt{3} =12*2*\sqrt{3} =24\sqrt{3}[/tex]
