Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. simplify: $-sqrt{96}$ $3sqrt{32}$ $-16sqrt{6}$ $4sqrt{6}$ $-4sqrt{6}$

Explanation:

Step1: Factor 96 into perfect square and other

We know that \(96 = 16\times6\), where 16 is a perfect square. So we can rewrite \(\sqrt{96}\) as \(\sqrt{16\times6}\).

Step2: Use square root property

Using the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)), we have \(\sqrt{16\times6}=\sqrt{16}\times\sqrt{6}\). Since \(\sqrt{16} = 4\), then \(\sqrt{96}=4\sqrt{6}\).

Step3: Apply the negative sign

The original expression is \(-\sqrt{96}\), so substituting the simplified form of \(\sqrt{96}\) we get \(- 4\sqrt{6}\).

Answer:

\(-4\sqrt{6}\) (corresponding to the option with \(-4\sqrt{6}\))