| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
What is 6\( \sqrt{8} \) x 3\( \sqrt{4} \)?
| 9\( \sqrt{8} \) | |
| 9\( \sqrt{4} \) | |
| 18\( \sqrt{12} \) | |
| 72\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{8} \) x 3\( \sqrt{4} \)
(6 x 3)\( \sqrt{8 \times 4} \)
18\( \sqrt{32} \)
Now we need to simplify the radical:
18\( \sqrt{32} \)
18\( \sqrt{2 \times 16} \)
18\( \sqrt{2 \times 4^2} \)
(18)(4)\( \sqrt{2} \)
72\( \sqrt{2} \)
16 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 6 | |
| 7 | |
| 4 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 16 people needing transportation leaving 16 - 12 = 4 who will have to find other transportation.
Which of these numbers is a factor of 36?
| 20 | |
| 38 | |
| 9 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
What is \( 4 \)\( \sqrt{20} \) + \( 9 \)\( \sqrt{5} \)
| 36\( \sqrt{4} \) | |
| 13\( \sqrt{4} \) | |
| 36\( \sqrt{20} \) | |
| 17\( \sqrt{5} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{20} \) + 9\( \sqrt{5} \)
4\( \sqrt{4 \times 5} \) + 9\( \sqrt{5} \)
4\( \sqrt{2^2 \times 5} \) + 9\( \sqrt{5} \)
(4)(2)\( \sqrt{5} \) + 9\( \sqrt{5} \)
8\( \sqrt{5} \) + 9\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{5} \) + 9\( \sqrt{5} \)The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common multiple |
|
absolute value |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.