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

4\( \sqrt{4} \) x 4\( \sqrt{8} \)
(4 x 4)\( \sqrt{4 \times 8} \)
16\( \sqrt{32} \)

Now we need to simplify the radical:

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

To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{40}{68} \) = \( \frac{\frac{40}{4}}{\frac{68}{4}} \) = \( \frac{10}{17} \)

A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:

39,000 fans x \( \frac{3}{4} \) = \( \frac{117000}{4} \) = 29,250 fans.

If the tiger has consumed 55 pounds of food in 5 days that's \( \frac{55}{5} \) = 11 pounds of food per day. The tiger needs to consume 99 - 55 = 44 more pounds of food to reach 99 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.

By buying two shirts, Bob will save $36 x \( \frac{10}{100} \) = \( \frac{$36 x 10}{100} \) = \( \frac{$360}{100} \) = $3.60 on the second shirt.