find a rational number with one decimal place that is between square 17 and square 18

1 answer

To find a rational number between the squares of 17 and 18, we need to find a rational number that when squared, falls within this range.

The square of 17 is 289 (17^2 = 289), and the square of 18 is 324 (18^2 = 324).

We can see that there is no rational number with one decimal place between the squares of 17 and 18 because no perfect square falls within this range.

The closest rational number with one decimal place below the square of 18 is 17.9, whose square is 320.41. However, this is still greater than the square of 17.

Therefore, there is no rational number with one decimal place that falls between the squares of 17 and 18.