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

Question

Responses

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

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 5.

Answer 1

To determine the square root of 28, we can estimate its value by finding the squares of numbers around it.

• $5^2=25$
• $6^2=36$

Since $28$ is between $25$ and $36$, we know that $\sqrt{28}$ is between $5$ and $6$.

To estimate whether $\sqrt{28}$ is closer to $5$ or $6$, we can check the square of $5.3$ and $5.4$:

• ${5.3}^2=28.09$
• ${5.4}^2=29.16$

Since $28$ is less than $28.09$ but more than $25$ (and based on our estimates), the value of $\sqrt{28}$ is actually closer to $5.3$.

Thus, the square root of $28$ is between $5$ and $6$, and is probably closer to $5$.

So, the true statement is: It is between 5 and 6, probably closer to 5.