Question

Simplify and express the result in its simplest form: $4\sqrt{12}\times 7\sqrt{6}$.

• A. $168\sqrt{6}$
• B. $168\sqrt{2}$
• C. $168\sqrt{3}$
• D. $168\sqrt{12}$

Answer 1

Answer: (B)

$168\sqrt{2}$

$4\sqrt{12}\times 7\sqrt{6}$

$=28\sqrt{12\times 6}$ $=28\sqrt{72}$ $=28\sqrt{36\times 2}$

$=28\times 6\sqrt{2}$ $=168\times \sqrt{2}$.

Therefore, option $B$ is correct.