A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

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

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{7} \) ÷ \( \frac{4}{7} \) = \( \frac{4}{7} \) x \( \frac{7}{4} \)

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

\( \frac{4}{7} \) x \( \frac{7}{4} \) = \( \frac{4 x 7}{7 x 4} \) = \( \frac{28}{28} \) = 1

To multiply terms with radicals, multiply the coefficients and radicands separately:

9\( \sqrt{4} \) x 6\( \sqrt{3} \)
(9 x 6)\( \sqrt{4 \times 3} \)
54\( \sqrt{12} \)

Now we need to simplify the radical:

54\( \sqrt{12} \)
54\( \sqrt{3 \times 4} \)
54\( \sqrt{3 \times 2^2} \)
(54)(2)\( \sqrt{3} \)
108\( \sqrt{3} \)