Question

What statement is true about the square root of 28?

it is between 5 and 6, probably closer to 5
it is between 4 and 5, probably closer to 5
it is between 6 and 7, probably closer to 6
it is between 5 and 6, probably closer to 6

Answer 1

To determine where the square root of 28 falls, we can consider the perfect squares near 28.

We know that:
- \(5^2 = 25\)
- \(6^2 = 36\)

Since \(25 < 28 < 36\), it follows that \(5 < \sqrt{28} < 6\).

To narrow it down, we can refine our estimation of \(\sqrt{28}\) as follows:

Calculating the decimal:
- \(5.3^2 = 28.09\) (too high)
- \(5.2^2 = 27.04\) (too low)

This means \(\sqrt{28}\) is indeed between \(5.2\) and \(5.3\).

Given that \(\sqrt{28}\) is between 5 and 6 and is closer to 5 (since 5.2 is significantly less than 5.5), the correct statement is:

**It is between 5 and 6, probably closer to 5.**