Questions: Simplify -√400 (Enter ∅ if your answer is not a real number.)

Simplify -√400
(Enter ∅ if your answer is not a real number.)
Transcript text: Content attribution Question Simplify $-\sqrt{400}$ (Enter $\varnothing$ if your answer is not a real number.) Provide your answer below:
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Solution

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Solution Steps

To simplify \(-\sqrt{400}\), we first need to find the square root of 400. Since 400 is a perfect square, its square root is a real number. After finding the square root, we apply the negative sign to the result.

Step 1: Calculate the Square Root

To simplify \(-\sqrt{400}\), we first find the square root of 400: \[ \sqrt{400} = 20 \]

Step 2: Apply the Negative Sign

Next, we apply the negative sign to the result obtained from the square root: \[ -\sqrt{400} = -20 \]

Final Answer

Thus, the simplified result is \[ \boxed{-20} \]

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