Question

-4 squareroot 6 minus 8 squareroot 96, subract in simplist form

Answer 1

To simplify the expression \(-4\sqrt{6} - 8\sqrt{96}\), we'll first simplify \(\sqrt{96}\).

1. **Simplifying \(\sqrt{96}\)**:
\[
\sqrt{96} = \sqrt{16 \cdot 6} = \sqrt{16} \cdot \sqrt{6} = 4\sqrt{6}
\]

2. **Substituting back into the expression**:
Now, substitute \(\sqrt{96}\) with \(4\sqrt{6}\) in the expression:
\[
-4\sqrt{6} - 8\sqrt{96} = -4\sqrt{6} - 8(4\sqrt{6})
\]
\[
= -4\sqrt{6} - 32\sqrt{6}
\]

3. **Combining like terms**:
\[
-4\sqrt{6} - 32\sqrt{6} = (-4 - 32)\sqrt{6} = -36\sqrt{6}
\]

Thus, the simplified form of the expression \(-4\sqrt{6} - 8\sqrt{96}\) is:
\[
\boxed{-36\sqrt{6}}
\]