ANSWER
[tex]2 \sqrt{6} [/tex]
EXPLANATION
[tex] \sqrt{3} \times 2 \sqrt{2} [/tex]
This is the same as:
[tex]2 \times \sqrt{3} \times \sqrt{2} [/tex]
Recall that:
[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]
We apply this property of radicals to obtain;
[tex]2 \times \sqrt{3} \times \sqrt{2} = 2 \sqrt{3 \times 2} [/tex]
We simplify to get;
[tex]2 \times \sqrt{3} \times \sqrt{2} = 2 \sqrt{6} [/tex]
Therefore the simplified form of the given expression is
[tex]2 \sqrt{6} [/tex]
