Question

use the aleks calculator to approximate \\(\sqrt{32}\\). round your answer to the nearest hundredth.

Explanation:

Step1: Recall square root approximation

We know that to approximate $\sqrt{32}$, we can use a calculator. First, note that $32 = 16\times2$, so $\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}$. But we can also directly calculate the decimal approximation.

Step2: Calculate the square root

Using a calculator (like ALEKS), we find that $\sqrt{32}\approx5.656854249$.

Step3: Round to nearest hundredth

To round to the nearest hundredth, we look at the thousandth place. The number is $5.656854249$, the thousandth digit is $6$, which is greater than or equal to $5$, so we round up the hundredth place. So $5.65 + 0.01=5.66$.

Answer:

$5.66$