Questions: Simplify -√400
(Enter ∅ if your answer is not a real number.)
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Question
Simplify $-\sqrt{400}$
(Enter $\varnothing$ if your answer is not a real number.)
Provide your answer below:
Solution
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:
\[
-\sqrt{400} = -20
\]