Video: Identifying the Position of Irrational Numbers on a Number Line

Identify which of the arrows represents the position of √13.

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Video Transcript

Identify which of the arrows represents the position of the square root of 13.

If we’re thinking about the square root of 13, we want to find some value that when multiplied by itself equals 13. A good way to do this is to think about squares that we already know. For example, nine is a square number. It’s three times three. And so we know that the square root of nine is three. The next square number we know after nine would be 16. The square root of 16 equals four. And since we know that 13 falls between nine and 16 on a number line, the square root of 13 will fall between three and four on a number line, which makes the correct answer option a. The square root of 13 will be somewhere between three and four.

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