Which statement is true about the square root of 28? (1 point)

Question

O It is between 5 and 6, probably closer to 5.
O It is between 4 and 5, probably closer to 5.
O It is between 5 and 6, probably closer to 6.
O It is between 6 and 7, probably closer to 6.

Answer 1

To determine the approximate location of the square root of 28, we can find the squares of integers around the number:

• \(5^2 = 25\)
• \(6^2 = 36\)

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

Next, to see if it’s closer to 5 or 6, we can find the midpoint between 25 and 36:

• The midpoint is \((25 + 36) / 2 = 30.5\).

Since 28 is less than 30.5, \(\sqrt{28}\) is closer to 5 than to 6.

Thus, the correct statement is:

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