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 6 workers at the company now and that's enough to staff 2 crews so there are \( \frac{6}{2} \) = 3 workers on a crew. 5 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 5 x 3 = 15 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 15 - 6 = 9 new staff for the busy season.

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

6\( \sqrt{32} \) - 6\( \sqrt{2} \)
6\( \sqrt{16 \times 2} \) - 6\( \sqrt{2} \)
6\( \sqrt{4^2 \times 2} \) - 6\( \sqrt{2} \)
(6)(4)\( \sqrt{2} \) - 6\( \sqrt{2} \)
24\( \sqrt{2} \) - 6\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

The equation for this sequence is:

a_n = a_n-1 + 5

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 5
a₆ = 21 + 5
a₆ = 26

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{86}{8} \) = 10\(\frac{3}{4}\)

So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.