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

6\( \sqrt{8} \) + 6\( \sqrt{2} \)
6\( \sqrt{4 \times 2} \) + 6\( \sqrt{2} \)
6\( \sqrt{2^2 \times 2} \) + 6\( \sqrt{2} \)
(6)(2)\( \sqrt{2} \) + 6\( \sqrt{2} \)
12\( \sqrt{2} \) + 6\( \sqrt{2} \)

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

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{27}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{15}{8} \) cups
1\(\frac{7}{8}\) cups

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 12 workers at the company now and that's enough to staff 4 crews so there are \( \frac{12}{4} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 24 - 12 = 12 new staff for the busy season.