Question

Can you help me with this math problem by giving me a step-by-step solution? here it is below:
Evaluate the​ expression, or state that the expression is not a real number.
square root 100
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your answer.
A. The expression is a real number. square root 100 = blank
B. The expression is not a real number.

Answer 1

To evaluate the expression \(\sqrt{100}\), you can follow these steps:

1. **Understand the square root**: The square root of a number \(x\) is a number \(y\) such that \(y^2 = x\). In this case, we want to find \(y\) such that \(y^2 = 100\).

2. **Find the square root of 100**:
- You can think of the numbers whose squares are 100.
- \(10^2 = 100\) and \((-10)^2 = 100\).
- Therefore, the positive square root of 100 is 10, and it also has a negative counterpart, but in the context of real numbers, we typically refer to the principal (positive) square root.

3. **Conclusion**:
- Since \(\sqrt{100} = 10\), this is a real number.

Given this, the correct choice is A.

So, we can fill the answer box as follows:

A. The expression is a real number. \(\sqrt{100} = 10\)