So, we have to see which perfect squares [tex] \sqrt{300} [/tex] is in between.
Through guess and check, we see that [tex] 17^2 \text{ and } 18^2 [/tex], which evaluate to 289 and 324 respectivly, if under a radicand, would be the two perfect squares closet to the square root of 300.
That means if we were to take the square root of 289 and 324, we should have the two integers that the square root of 300 is in between, and we see that those two numbers are 17 and 18.
