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

3\( \sqrt{8} \) - 6\( \sqrt{2} \)
3\( \sqrt{4 \times 2} \) - 6\( \sqrt{2} \)
3\( \sqrt{2^2 \times 2} \) - 6\( \sqrt{2} \)
(3)(2)\( \sqrt{2} \) - 6\( \sqrt{2} \)
6\( \sqrt{2} \) - 6\( \sqrt{2} \)

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

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.

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

\( \frac{3}{5} \) x \( \frac{2}{5} \) = \( \frac{3 x 2}{5 x 5} \) = \( \frac{6}{25} \) = \(\frac{6}{25}\)

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 20.5km + 7.5km
total distance = 28.4km

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{45}{100} \) = \( \frac{45 x 30}{100} \) = \( \frac{1350}{100} \) = 13 shots

The center makes 40% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{13}{\frac{40}{100}} \) = 13 x \( \frac{100}{40} \) = \( \frac{13 x 100}{40} \) = \( \frac{1300}{40} \) = 33 shots

to make the same number of shots as the guard and thus score the same number of points.