Question

What is the value of this expression when m = 6?

-4 3√-6m²
OA. -24
OB.24
O C. -144
O D. 144

Answer 1

To find the value of the expression when m = 6, let's substitute m = 6 into the expression:

-4 * 3√(-6 * 6²)

First, calculate 6²:

6² = 6 * 6 = 36

Now, find the cube root of -6 * 36:

3√(-6 * 36) = 3√(-216)

The cube root of -216 is -6 because (-6) * (-6) * (-6) = -216.

Now, substitute this back into the expression:

-4 * (-6) = 24

So, when m = 6, the value of the expression is 24.

Therefore, the correct answer is:

B. 24