| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
| 1 | |
| 5.6 | |
| 0.9 | |
| 1.4 |
1
4! = ?
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 |
|
4 x 3 x 2 x 1 |
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.
What is \( \frac{28\sqrt{12}}{4\sqrt{4}} \)?
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{28\sqrt{12}}{4\sqrt{4}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{12}{4}} \)
7 \( \sqrt{3} \)
What is \( \frac{3}{8} \) x \( \frac{2}{6} \)?
| \(\frac{3}{28}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{3}{16}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{2}{6} \) = \( \frac{3 x 2}{8 x 6} \) = \( \frac{6}{48} \) = \(\frac{1}{8}\)
What is \( 7 \)\( \sqrt{112} \) + \( 3 \)\( \sqrt{7} \)
| 31\( \sqrt{7} \) | |
| 21\( \sqrt{112} \) | |
| 10\( \sqrt{784} \) | |
| 21\( \sqrt{7} \) |
To add these radicals together their radicands must be the same:
7\( \sqrt{112} \) + 3\( \sqrt{7} \)
7\( \sqrt{16 \times 7} \) + 3\( \sqrt{7} \)
7\( \sqrt{4^2 \times 7} \) + 3\( \sqrt{7} \)
(7)(4)\( \sqrt{7} \) + 3\( \sqrt{7} \)
28\( \sqrt{7} \) + 3\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
28\( \sqrt{7} \) + 3\( \sqrt{7} \)