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

(\( \frac{25}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups

The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

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

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

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

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

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

4\( \sqrt{6} \) x 3\( \sqrt{4} \)
(4 x 3)\( \sqrt{6 \times 4} \)
12\( \sqrt{24} \)

Now we need to simplify the radical:

12\( \sqrt{24} \)
12\( \sqrt{6 \times 4} \)
12\( \sqrt{6 \times 2^2} \)
(12)(2)\( \sqrt{6} \)
24\( \sqrt{6} \)