To simplify \(-\sqrt{96}\), we start by simplifying \(\sqrt{96}\). 1. Factor \(96\) into its prime factors: \[ 96 = 16 \times 6 = 16 \times 2 \times 3 = 2^4 \times 3 \] 2. Then, we can take the square root of the perfect square \(16\): \[ \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6} \] 3. Therefore: \[ -\sqrt{96} = -4\sqrt{6} \] So, \(-\sqrt{96}\) simplifies to \(-4\sqrt{6}\).

simplify -√96

1 answer

To simplify \(-\sqrt{96}\), we start by simplifying \(\sqrt{96}\).

Factor \(96\) into its prime factors: \[ 96 = 16 \times 6 = 16 \times 2 \times 3 = 2^4 \times 3 \]
Then, we can take the square root of the perfect square \(16\): \[ \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6} \]
Therefore: \[ -\sqrt{96} = -4\sqrt{6} \]

So, \(-\sqrt{96}\) simplifies to \(-4\sqrt{6}\).