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

Question

Responses

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

It is between 6 and 7, probably closer to 6.
It is between 6 and 7, probably closer to 6.

It is between 4 and 5, probably closer to 5.
It is between 4 and 5, probably closer to 5.

It is between 5 and 6, probably close to 5

Answer 1

To determine the square root of 28, we'll look for the perfect squares closest to 28. The perfect squares are:

• \(5^2 = 25\)
• \(6^2 = 36\)

Since 28 is between 25 and 36, we know that:

\[ 5 < \sqrt{28} < 6 \]

Next, we can refine our estimation by noting that 28 is closer to 25 than to 36. Thus, the square root of 28 will be closer to 5 than to 6.

Calculating the approximate value, we find:

\[ \sqrt{28} \approx 5.29 \]

Based on this, the true statement is:

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