Question

use the aleks calculator to approximate \\(\sqrt{119}\\).
round your answer to the nearest hundredth.
\\(\sqrt{119} \approx \square\\)

Explanation:

Step1: Recall the square root concept

We know that $\sqrt{100} = 10$ and $\sqrt{121}=11$, so $\sqrt{119}$ is between 10 and 11. Using a calculator (ALEKS calculator here), we calculate the square root of 119.

Step2: Calculate the square root

Using the calculator, $\sqrt{119} \approx 10.9087121146$

Step3: Round to the nearest hundredth

To round to the nearest hundredth, we look at the thousandth place. The number in the thousandth place is 8, which is greater than 5. So we round up the hundredth place. So $10.9087121146\approx 10.91$

Answer:

$\boxed{10.91}$