The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 have in common.

To simplify a radical, factor out the perfect squares:

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

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

First, solve for \( \left|x + 8\right| \):

\( \left|x + 8\right| \) + 5 = 2
\( \left|x + 8\right| \) = 2 - 5
\( \left|x + 8\right| \) = -3

The value inside the absolute value brackets can be either positive or negative so (x + 8) must equal - 3 or --3 for \( \left|x + 8\right| \) to equal -3:

So, x = -5 or x = -11.

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

\( \frac{2}{8} \) ÷ \( \frac{3}{6} \) = \( \frac{2}{8} \) x \( \frac{6}{3} \)

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

\( \frac{2}{8} \) x \( \frac{6}{3} \) = \( \frac{2 x 6}{8 x 3} \) = \( \frac{12}{24} \) = \(\frac{1}{2}\)