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Represent the irrational number, sqrt(7) on the numberline.

In order to do this, we need to know what number sqrt(7) is! It's not a nice number either, but we can figure it out.

Some perfect square number that can help us

0 * 0 = 0

1 * 1 = 1

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

sqrt(7) is asking, what number times itself is 7?

Let's use our perfect square numbers to help.

? * ? = 7

Where does this fit in on our list of perfect square numbers?

2 * 2 = 4

? * ? = 7

3 * 3 = 9

7 lies between 4 and 9! This means that sqrt(7) is somewhere between...

That's right, 2 and 3.

In fact, 7 is closer to 9 (2 away) than 7 is from 4 (3 away). This means, sqrt(7) is closer to 3 than it is to 2 on the numberline.

<-------0 1 2... (sqrt7).. 3 4 5 6 7---->

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Q: Represent the irrationas number root of 7 on numberline?
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