Question

use the aleks calculator to approximate \\(\sqrt{113}\\). round your answer to the nearest hundredth. \\(\sqrt{113} \approx \boxed{}\\)

Explanation:

Step1: Recall square root calculation

To approximate $\sqrt{113}$, we know that $10^2 = 100$ and $11^2 = 121$, so $\sqrt{113}$ is between 10 and 11. Using a calculator (like ALEKS), we calculate $\sqrt{113}$.

Step2: Calculate and round

Using a calculator, $\sqrt{113} \approx 10.6301458127$. Rounding to the nearest hundredth (two decimal places), we look at the thousandth place (0). Since 0 < 5, we keep the hundredth place as is. So, $\sqrt{113} \approx 10.63$.

Answer:

10.63