A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{6!}{4!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{6 \times 5}{1} \)
\( 6 \times 5 \)
30

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

8\( \sqrt{32} \) + 6\( \sqrt{2} \)
8\( \sqrt{16 \times 2} \) + 6\( \sqrt{2} \)
8\( \sqrt{4^2 \times 2} \) + 6\( \sqrt{2} \)
(8)(4)\( \sqrt{2} \) + 6\( \sqrt{2} \)
32\( \sqrt{2} \) + 6\( \sqrt{2} \)

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

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{81}{16}} \)
\( \frac{\sqrt{81}}{\sqrt{16}} \)
\( \frac{\sqrt{9^2}}{\sqrt{4^2}} \)
\( \frac{9}{4} \)
2\(\frac{1}{4}\)

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

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

vans = \( \frac{95}{14} \) = 6\(\frac{11}{14}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.