Which statement is true about the square root of 28?(1 point) Responses It is between 5 and 6, probably closer to 6. It is between 5 and 6, probably closer to 6. 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 4 and 5, probably closer to 5.

1 answer

To determine which statement is true about the square root of 28, we can start by calculating the square root.

  1. The square root of 25 is 5 (since \(5^2 = 25\)).
  2. The square root of 36 is 6 (since \(6^2 = 36\)).

Since 28 lies between 25 and 36, we know that the square root of 28 lies between 5 and 6.

Next, we see that \(5.2^2 = 27.04\) and \(5.3^2 = 28.09\). This shows that:

  • \(5.2^2 < 28 < 5.3^2\)

So, \( \sqrt{28} \) is approximately 5.3, which is indeed closer to 5 than to 6.

Thus, the true statement is:

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