number between 17 and 18, and has a rational square root

9k Views Asked by Bumbble Comm At 29 Mar 2026 - 4:48

"number between 17 and 18, and has a rational square root" Is there even one? They all keep coming up irrational for me

There are 3 best solutions below

user61527 On 27 Apr 2014 - 7:14

Hint: Can you think of a rational number between $\sqrt{17}$ and $\sqrt{18}$?

Bumbble Comm On 27 Apr 2014 - 7:25

I like the positive root of $x^2 - x - \frac{217745}{16384}$.

Bumbble Comm On 28 Apr 2014 - 11:26

"Is there even one?" Yes – there are infinitely many. (Exercise: Why?)

Hint: Guess the square root, not the number between 17 and 18.