Question

Which of the following is between π and 11−−√?

Answer 1

Which of the following is between π and 11−−√?(1 point)
Responses

10−−√
Start Root 10 End Root

12−−√
Start Root 12 End Root

7–√
Start Root 7 End Root

8–√

Answer 2

10−−√

Answer 3

Since $\sqrt{11}>3$ (since $3^2=9<11$, but $4^2=16>11$), we have $11-\sqrt{11}<11-3=8$. Since $\pi$ is between 3 and 4 (since $3.14=\pi<3.15$), we have $3<\pi<4$. Putting it all together, we have $$\pi<4<11-\sqrt{11}<8.$$Therefore, $\boxed{4}$ is between $\pi$ and $11-\sqrt{11}$.