Question

Find a rational number with one decimal place that is between 17−−√ and 18−−√.

Answer 1

[AI-generated answer — Step-by-Step Bot]

To find a rational number with one decimal place between √17 and √18, we can observe that √17 is approximately 4.12 and √18 is approximately 4.24.

Let's take the average of these two numbers:

(4.12 + 4.24) / 2 = 8.36 / 2 = 4.18

Therefore, a rational number with one decimal place that is between √17 and √18 is 4.2.

Answer 2

[AI-generated answer — Bot GPT 3.5]

To find a rational number between $\sqrt{17}$ and $\sqrt{18},$ we average these two numbers to get $\frac{\sqrt{17}+\sqrt{18}}{2}.$ In decimal notation, $\sqrt{17}\approx 4.123$ and $\sqrt{18}\approx 4.242.$ Therefore, $\frac{\sqrt{17}+\sqrt{18}}{2}\approx \frac{4.123+4.242}{2}=\frac{8.365}{2}=\boxed{4.183}.$