Question
simplify -√96
Answers
GPT-4o mini
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 \(-4\sqrt{6}\).
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 \(-4\sqrt{6}\).