Which statement is true about the square root of 28?

Question

a. It is between 5 and 6, probably closer to 5.
b. It is between 6 and 7, probably closer to 6.
c. It is between 4 and 5, probably closer to 5.
d. It is between 5 and 6, probably closer to 6.

Answer 1

To determine which statement is true about the square root of 28, we can calculate the square root of 28 and compare it to whole numbers.

• The square root of 25 is 5 (since \( 5^2 = 25 \)) and the square root of 36 is 6 (since \( 6^2 = 36 \)).
• Since 28 is between 25 and 36, we know that: \[ 5 < \sqrt{28} < 6 \]

Now, let's narrow it down to see if it's closer to 5 or 6:

• The exact value of \(\sqrt{28}\) is approximately 5.29 (since \( 5.29^2 \approx 28 \)).

This indicates that \(\sqrt{28}\) is indeed between 5 and 6, and closer to 5.

Thus, the correct statement is: a. It is between 5 and 6, probably closer to 5.