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

  1. Identify the number to find the square root for

Our goal is to find the square root of 268.

  1. 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, $16 < \sqrt{268} < 17$.

  1. Calculate the square root using a calculator

Using a calculator to find the square root gives us:

$$ \sqrt{268} \approx 16.373 $$

  1. 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.

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