| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
What is \( 3 \)\( \sqrt{12} \) - \( 9 \)\( \sqrt{3} \)
| 27\( \sqrt{4} \) | |
| -6\( \sqrt{12} \) | |
| 27\( \sqrt{12} \) | |
| -3\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{12} \) - 9\( \sqrt{3} \)
3\( \sqrt{4 \times 3} \) - 9\( \sqrt{3} \)
3\( \sqrt{2^2 \times 3} \) - 9\( \sqrt{3} \)
(3)(2)\( \sqrt{3} \) - 9\( \sqrt{3} \)
6\( \sqrt{3} \) - 9\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{3} \) - 9\( \sqrt{3} \)What is (a4)2?
| a-2 | |
| a2 | |
| a8 | |
| 4a2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a4)2Which of the following is not a prime number?
5 |
|
2 |
|
7 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Simplify \( \sqrt{48} \)
| 4\( \sqrt{3} \) | |
| 2\( \sqrt{6} \) | |
| 3\( \sqrt{3} \) | |
| 8\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)
Damon loaned Latoya $200 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $212 | |
| $206 | |
| $204 | |
| $218 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $200
i = 0.06 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $12