The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

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

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:

\( \sqrt{\frac{9}{36}} \)
\( \frac{\sqrt{9}}{\sqrt{36}} \)
\( \frac{\sqrt{3^2}}{\sqrt{6^2}} \)
\(\frac{1}{2}\)

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

2\( \sqrt{8} \) x 4\( \sqrt{7} \)
(2 x 4)\( \sqrt{8 \times 7} \)
8\( \sqrt{56} \)

Now we need to simplify the radical:

8\( \sqrt{56} \)
8\( \sqrt{14 \times 4} \)
8\( \sqrt{14 \times 2^2} \)
(8)(2)\( \sqrt{14} \)
16\( \sqrt{14} \)

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.