The amount of flour you need is (2\(\frac{1}{2}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{20}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups

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:

\( \sqrt{\frac{25}{4}} \)
\( \frac{\sqrt{25}}{\sqrt{4}} \)
\( \frac{\sqrt{5^2}}{\sqrt{2^2}} \)
\( \frac{5}{2} \)
2\(\frac{1}{2}\)

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%

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.

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

4\( \sqrt{175} \) - 5\( \sqrt{7} \)
4\( \sqrt{25 \times 7} \) - 5\( \sqrt{7} \)
4\( \sqrt{5^2 \times 7} \) - 5\( \sqrt{7} \)
(4)(5)\( \sqrt{7} \) - 5\( \sqrt{7} \)
20\( \sqrt{7} \) - 5\( \sqrt{7} \)

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