To find out between which two perfect squares \( \sqrt{300} \) lies, we can determine the perfect squares that are closest to 300.
First, we calculate the square root of 300:
\[ \sqrt{300} \approx 17.32 \]
Next, we find the perfect squares close to this value:
- The perfect square of 17 is \( 17^2 = 289 \).
- The perfect square of 18 is \( 18^2 = 324 \).
Therefore, \( \sqrt{300} \) lies between the perfect squares 289 and 324.
The correct response is:
289 and 324