What is the square root of 722?
Understand the Problem
The question is asking for the square root of the number 722, which is a mathematical operation. We will calculate this value.
Answer
The square root of 722 is approximately $26.851$.
Answer for screen readers
The square root of 722 is approximately $26.851$.
Steps to Solve
- Identify the square root operation
We need to find the square root of the number 722.
- Use a calculator or estimate the square root
Using a calculator, we can directly calculate the square root or estimate it by finding two perfect squares between which 722 lies.
Here, we see that:
- $26^2 = 676$
- $27^2 = 729$
So, we know that $\sqrt{722}$ is between 26 and 27.
- Calculate the exact square root
Using a calculator or a computational tool, we find: $$ \sqrt{722} \approx 26.851 $$
The square root of 722 is approximately $26.851$.
More Information
The square root gives us the number that, when multiplied by itself, equals the original number. In this case, $26.851 \times 26.851 \approx 722$. The square root is often used in various mathematical contexts, such as geometry and statistics.
Tips
- Not recognizing that the square root can be irrational: Some might think the square root has to be a whole number, but in many cases, it is irrational, as it is here.
- Miscalculating with approximation: Forgetting to check if the answer falls between the two perfect squares can lead to an incorrect estimate.
