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Chapter 5: Problem 494

In the following exercises, simplify. $$ -\sqrt{100} $$

Short Answer

Expert verified
-10

Step by step solution

01

Identify the Square Root

Recognize that the expression involves the square root of 100.
02

Calculate the Square Root

Find the square root of 100. \ \ The square root of 100 is 10, since \( 10 \times 10 = 100 \).
03

Apply the Negative Sign

Include the negative sign as part of the final answer. \ \ Therefore, \( -\sqrt{100} = -10 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Simplification Steps
Simplifying square roots involves finding the root value first and applying any additional signs second.
Here's a simplified approach to tackle such problems:
  • Identify the square root: Recognize the square root sign and the number within it.
  • Calculate the square root: Find the value that, when squared, equals the number within the radical sign.
  • Apply additional signs: If there's a negative sign in front of the square root, apply it last to get the final simplified value.
Let's apply these steps to our specific example:
  • Step 1: Identify the square root: \( \sqrt{100} \).
  • Step 2: Calculate the square root: \( \sqrt{100} = 10 \).
  • Step 3: Apply the negative sign: \( -\sqrt{100} = -10 \).
By following these steps, you get a clear and simplified result.

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