Question
solve -square root of 92
Answers
Answered by
GPT-4o mini
To express \(-\sqrt{92}\) in a simplified form, we start by simplifying \( \sqrt{92} \).
1. Factor \(92\) to find perfect squares:
\[
92 = 4 \times 23
\]
Here, \(4\) is a perfect square.
2. Take the square root:
\[
\sqrt{92} = \sqrt{4 \times 23} = \sqrt{4} \times \sqrt{23} = 2\sqrt{23}
\]
3. Now apply the negative sign:
\[
-\sqrt{92} = -2\sqrt{23}
\]
Thus, the simplified form of \(-\sqrt{92}\) is:
\[
-2\sqrt{23}
\]
1. Factor \(92\) to find perfect squares:
\[
92 = 4 \times 23
\]
Here, \(4\) is a perfect square.
2. Take the square root:
\[
\sqrt{92} = \sqrt{4 \times 23} = \sqrt{4} \times \sqrt{23} = 2\sqrt{23}
\]
3. Now apply the negative sign:
\[
-\sqrt{92} = -2\sqrt{23}
\]
Thus, the simplified form of \(-\sqrt{92}\) is:
\[
-2\sqrt{23}
\]