To simplify a radical, factor out the perfect squares:

\( \sqrt{28} \)
\( \sqrt{4 \times 7} \)
\( \sqrt{2^2 \times 7} \)
2\( \sqrt{7} \)

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).

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (3 + 3) ÷ 5 x 4 - 4²
P: 5 + (6) ÷ 5 x 4 - 4²
E: 5 + 6 ÷ 5 x 4 - 16
MD: 5 + \( \frac{6}{5} \) x 4 - 16
MD: 5 + \( \frac{24}{5} \) - 16
AS: \( \frac{25}{5} \) + \( \frac{24}{5} \) - 16
AS: \( \frac{49}{5} \) - 16
AS: \( \frac{49 - 80}{5} \)
\( \frac{-31}{5} \)
-6\(\frac{1}{5}\)

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{9 + 5 + 11 + 3}{4} \) = \( \frac{28}{4} \) = 7

If 46% of the town's 36,000 voters cast ballots the number of votes cast is:

(\( \frac{46}{100} \)) x 36,000 = \( \frac{1,656,000}{100} \) = 16,560

The mayor got 74% of the votes cast which is:

(\( \frac{74}{100} \)) x 16,560 = \( \frac{1,225,440}{100} \) = 12,254 votes.