Question

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

Answer 1

To find out where the square root of 28 (√28) lies, we can look at the squares of whole numbers close to it:

• 5 squared (5²) is 25.
• 6 squared (6²) is 36.

Since 25 < 28 < 36, we can conclude that:

5 < √28 < 6.

Next, we can estimate whether √28 is closer to 5 or 6.

Calculating:

• 5.5 squared (5.5²) is 30.25, which is greater than 28.
• 5.3 squared (5.3²) is 28.09, which is also greater than 28.
• 5.2 squared (5.2²) is 27.04, which is less than 28.

This shows that √28 is between 5.2 and 5.3, so it is closer to 5.

Thus, the true statement about the square root of 28 is:

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