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

\( \frac{4\sqrt{12}}{2\sqrt{4}} \)
\( \frac{4}{2} \) \( \sqrt{\frac{12}{4}} \)
2 \( \sqrt{3} \)

The greatest common factor (GCF) is the greatest factor that divides two integers.

If the tiger has consumed 63 pounds of food in 7 days that's \( \frac{63}{7} \) = 9 pounds of food per day. The tiger needs to consume 126 - 63 = 63 more pounds of food to reach 126 pounds total. At 9 pounds of food per day that's \( \frac{63}{9} \) = 7 more days.

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

4\( \sqrt{18} \) + 4\( \sqrt{2} \)
4\( \sqrt{9 \times 2} \) + 4\( \sqrt{2} \)
4\( \sqrt{3^2 \times 2} \) + 4\( \sqrt{2} \)
(4)(3)\( \sqrt{2} \) + 4\( \sqrt{2} \)
12\( \sqrt{2} \) + 4\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

The equation for this sequence is:

a_n = a_n-1 + 6

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 6
a₆ = 25 + 6
a₆ = 31