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

Question

Responses

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

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

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

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

Answer 1

To determine the value of the square root of 28, we can look for perfect squares around it.

• The square of 5 is \(5^2 = 25\).
• The square of 6 is \(6^2 = 36\).

Since 28 is between 25 and 36, we know that \( \sqrt{28} \) is between 5 and 6. To find out whether it is closer to 5 or 6, we can calculate the approximate value:

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

Since \(5.29\) is closer to 5 than it is to 6, the correct statement is:

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