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

5\( \sqrt{48} \) + 2\( \sqrt{3} \)
5\( \sqrt{16 \times 3} \) + 2\( \sqrt{3} \)
5\( \sqrt{4^2 \times 3} \) + 2\( \sqrt{3} \)
(5)(4)\( \sqrt{3} \) + 2\( \sqrt{3} \)
20\( \sqrt{3} \) + 2\( \sqrt{3} \)

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

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

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:

\( \frac{3!}{5!} \)
\( \frac{3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4} \)
\( \frac{1}{20} \)

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.

A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:

33,000 fans x \( \frac{5}{6} \) = \( \frac{165000}{6} \) = 27,500 fans.