Question

use the aleks calculator to approximate \\(\sqrt{28}\\). round your answer to the nearest hundredth.

Explanation:

Step1: Recall the square root concept

The square root of a number \( x \), denoted as \( \sqrt{x} \), is a value \( y \) such that \( y^2 = x \). For \( \sqrt{28} \), we know that \( 5^2 = 25 \) and \( 6^2 = 36 \), so \( \sqrt{28} \) is between 5 and 6.

Step2: Use a calculator (or ALEKS calculator) to compute \( \sqrt{28} \)

Using a calculator, \( \sqrt{28} \approx 5.291502622129183 \)

Step3: Round to the nearest hundredth

The hundredth place is the second decimal place. The third decimal place is 1, which is less than 5, so we round down. So \( 5.291502622129183 \approx 5.29 \) when rounded to the nearest hundredth.

Answer:

\( 5.29 \)