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

9\( \sqrt{2} \) x 4\( \sqrt{4} \)
(9 x 4)\( \sqrt{2 \times 4} \)
36\( \sqrt{8} \)

Now we need to simplify the radical:

36\( \sqrt{8} \)
36\( \sqrt{2 \times 4} \)
36\( \sqrt{2 \times 2^2} \)
(36)(2)\( \sqrt{2} \)
72\( \sqrt{2} \)

Betty scored 96% on the test meaning she earned 96% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.96 = 192 points. Each question is worth 4 points so she got \( \frac{192}{4} \) = 48 questions right.

The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{26}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups

The equation for this sequence is:

a_n = a_n-1 + 2

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 + 2
a₆ = 9 + 2
a₆ = 11

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.