To add these radicals together their radicands must be the same:

6\( \sqrt{18} \) + 8\( \sqrt{2} \)
6\( \sqrt{9 \times 2} \) + 8\( \sqrt{2} \)
6\( \sqrt{3^2 \times 2} \) + 8\( \sqrt{2} \)
(6)(3)\( \sqrt{2} \) + 8\( \sqrt{2} \)
18\( \sqrt{2} \) + 8\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 28 - 20 = 8 new staff for the busy season.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{6} \) x \( \frac{4}{5} \) = \( \frac{2 x 4}{6 x 5} \) = \( \frac{8}{30} \) = \(\frac{4}{15}\)

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.