Question

Which two perfect squares does square root 300 lie between?

289 and 324
100 and 121
300 and 400
290 and 325

Answer 1

To determine between which two perfect squares the square root of 300 lies, we can calculate the approximate square root of 300.

First, we note that:

- \( 17^2 = 289 \)
- \( 18^2 = 324 \)

Now we can check the square root of 300:

\[
\sqrt{300} \approx 17.32
\]

Since \( 17^2 = 289 \) and \( 18^2 = 324 \), we find that:

\[
17 < \sqrt{300} < 18
\]

This means that the square root of 300 lies between the perfect squares 289 and 324. Therefore, the answer is:

**289 and 324**.