QuestionWhich of the following statements is true? $\sqrt{105}$ is between - 9 and 10 , but closer to 10. 9 and 10 , but closer to 11. 10 and 11 , but closer to 10 . 10 and 11 , but closer to 11

Studdy Solution
Determine which integer $\sqrt{105}$ is closer to by estimating further:
Calculate the square of $10.5$ to see if $\sqrt{105}$ is closer to $10$ or $11$.
$10.5^2 = 110.25$
Since $105$ is less than $110.25$, $\sqrt{105}$ is closer to $10$ than $11$.
The correct statement is:
$\boxed{\text{10 and 11, but closer to 10}}$