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.