What is the square root of 268?
Understand the Problem
The question is asking for the square root of the number 268. To solve this, we need to find a number that, when multiplied by itself, equals 268.
Answer
The square root of 268 is approximately $16.373$.
Answer for screen readers
The square root of 268 is approximately $16.373$.
Steps to Solve
- Identify the number to find the square root for
Our goal is to find the square root of 268.
- Use a calculator or estimation method
To find the square root, we can either use a calculator or estimate it by finding two perfect squares between which 268 lies.
For example:
$$ 16^2 = 256 $$
$$ 17^2 = 289 $$
So, $16 < \sqrt{268} < 17$.
- Calculate the square root using a calculator
Using a calculator to find the square root gives us:
$$ \sqrt{268} \approx 16.373 $$
- Round if necessary
If needed, we can round our answer to a specific number of decimal places. Here, the answer is commonly rounded to three decimal places:
$$ \sqrt{268} \approx 16.373 $$
The square root of 268 is approximately $16.373$.
More Information
The square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 268 is not a whole number, indicating that it falls between two integers, specifically between 16 and 17.
Tips
- Estimating the square root inaccurately: It's easy to make a mistake by not identifying the correct perfect squares around the number. Always check the nearest perfect squares to help with estimations.
- Forgetting to round: Ensure to specify rounding only where needed.
