What is the negative square root of 49?
Understand the Problem
The question is asking for the negative square root of the number 49, which is seeking to identify the value that, when multiplied by itself, equals 49, but expressed as a negative number.
Answer
The negative square root of 49 is $-7$.
Answer for screen readers
The negative square root of 49 is $-7$.
Steps to Solve
- Identify the square root of 49
To find the square root of 49, we need to determine what number multiplied by itself equals 49.
The solution is:
$$ \sqrt{49} = 7 $$
- Consider the negative square root
The problem specifically asks for the negative square root. Thus, we take the square root we found and apply the negative sign.
So, we write:
$$ -\sqrt{49} = -7 $$
- Final result
The final step is to state the negative square root clearly:
$$ -\sqrt{49} = -7 $$
The negative square root of 49 is $-7$.
More Information
The square root of a positive number can yield both a positive and a negative result. In this case, while $7$ is the principal square root, the negative version $-7$ is also valid, fulfilling the request for the negative square root.
Tips
- A common mistake is forgetting that square roots have both positive and negative values. When asked for the "negative square root," it's essential to ensure you apply the negative sign explicitly.
