Answer:
[tex]-2\sqrt{6}[/tex]
Step-by-step explanation:
The correct expression is
[tex]2\sqrt{54}-4\sqrt{24}[/tex]
we know that
[tex]54=(2)(3^3)=(3^2)(2)(3)=(3^2)(6)[/tex]
[tex]24=(2^3)(3)=(2^2)(2)(3)=(2^2)(6)[/tex]
substitute in the expression above
[tex]2\sqrt{(3^2)(6)}-4\sqrt{(2^2)(6)}=2(3)\sqrt{6}-4(2)\sqrt{6}=6\sqrt{6}-8\sqrt{6}=-2\sqrt{6}[/tex]
