| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is 9\( \sqrt{6} \) x 7\( \sqrt{4} \)?
| 126\( \sqrt{6} \) | |
| 16\( \sqrt{4} \) | |
| 63\( \sqrt{4} \) | |
| 16\( \sqrt{24} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{6} \) x 7\( \sqrt{4} \)
(9 x 7)\( \sqrt{6 \times 4} \)
63\( \sqrt{24} \)
Now we need to simplify the radical:
63\( \sqrt{24} \)
63\( \sqrt{6 \times 4} \)
63\( \sqrt{6 \times 2^2} \)
(63)(2)\( \sqrt{6} \)
126\( \sqrt{6} \)
17 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 7 | |
| 5 | |
| 2 | |
| 1 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 17 people needing transportation leaving 17 - 15 = 2 who will have to find other transportation.
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 or a = -7 |
|
none of these is correct |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is (c2)3?
| c6 | |
| c-1 | |
| 2c3 | |
| 3c2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c2)3What is \( \frac{8\sqrt{40}}{4\sqrt{8}} \)?
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{\frac{1}{5}} \) | |
| 2 \( \sqrt{5} \) | |
| 5 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{8\sqrt{40}}{4\sqrt{8}} \)
\( \frac{8}{4} \) \( \sqrt{\frac{40}{8}} \)
2 \( \sqrt{5} \)