Question

If √n is approximately equal to 4.2, then n is between _____.

8 and 9
4 and 5
2 and 3
16 and 25

Answer 1

If \( \sqrt{n} \) is approximately equal to \( 4.2 \), we can find \( n \) by squaring \( 4.2 \):

\[
n \approx (4.2)^2 = 17.64
\]

Now we need to find the range that \( n \) falls into. The options provided are:

1. 8 and 9
2. 4 and 5
3. 2 and 3
4. 16 and 25

Since \( 17.64 \) is between \( 16 \) and \( 25 \), the correct answer is:

**16 and 25**.