| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
What is \( \frac{35\sqrt{15}}{5\sqrt{3}} \)?
| 7 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{15}}{5\sqrt{3}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{15}{3}} \)
7 \( \sqrt{5} \)
What is \( \sqrt{\frac{36}{49}} \)?
| 1\(\frac{1}{3}\) | |
| \(\frac{5}{7}\) | |
| \(\frac{6}{7}\) | |
| \(\frac{4}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{49}} \)
\( \frac{\sqrt{36}}{\sqrt{49}} \)
\( \frac{\sqrt{6^2}}{\sqrt{7^2}} \)
\(\frac{6}{7}\)
What is the greatest common factor of 68 and 80?
| 43 | |
| 51 | |
| 55 | |
| 4 |
The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 3 factors [1, 2, 4] making 4 the greatest factor 68 and 80 have in common.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 8 | |
| 2 | |
| 5 | |
| 4 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4