| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
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The __________ is the greatest factor that divides two integers.
greatest common multiple |
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least common multiple |
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absolute value |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( 4 \)\( \sqrt{50} \) - \( 9 \)\( \sqrt{2} \)
| 11\( \sqrt{2} \) | |
| 36\( \sqrt{2} \) | |
| -5\( \sqrt{100} \) | |
| -5\( \sqrt{50} \) |
To subtract these radicals together their radicands must be the same:
4\( \sqrt{50} \) - 9\( \sqrt{2} \)
4\( \sqrt{25 \times 2} \) - 9\( \sqrt{2} \)
4\( \sqrt{5^2 \times 2} \) - 9\( \sqrt{2} \)
(4)(5)\( \sqrt{2} \) - 9\( \sqrt{2} \)
20\( \sqrt{2} \) - 9\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
20\( \sqrt{2} \) - 9\( \sqrt{2} \)How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 5 | |
| 4 | |
| 9 | |
| 6 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{6 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 4
Which of the following is not a prime number?
7 |
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2 |
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9 |
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5 |
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.
What is \( \frac{12\sqrt{36}}{6\sqrt{9}} \)?
| 2 \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{2} \) | |
| 2 \( \sqrt{4} \) | |
| \(\frac{1}{2}\) \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{36}}{6\sqrt{9}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{36}{9}} \)
2 \( \sqrt{4} \)