Answer:
C. \(-2\sqrt{ 6}\)
Step-by-step explanation:
We have been given an expression. We are asked to simplify the given expression.
\(2\sqrt{54}-4\sqrt{24}\)
First of all, we will factor out perfect square under the radicals as shown below:
\(2\sqrt{9\cdot 6}-4\sqrt{4\cdot 6}\)
\(2\sqrt{3^2\cdot 6}-4\sqrt{2^2\cdot 6}\)
Factor out perfect square:
\(2\cdot 3\sqrt{6}-4\cdot 2\sqrt{ 6}\)
\(6\sqrt{6}-8\sqrt{ 6}\)
Combine like terms:
\(-2\sqrt{ 6}\)
Therefore, option C is the correct choice.
