| Adding/Subtracting Radicals | ||
| #1 | 2√3 + 5√3 |
7√3 |
| #2 | 5√2 + 10√2 - 7√2 |
8√2 |
| #3 | 7√5 - 4√11 + 2√5 + 9√11 |
9√5 + 5√11 |
| #4 | 4√5 + 3√7 |
4√5 + 3√7 |
| #5 | 5√8 - 3√18 + √3 |
√2 + √3 |
| Multiplying/Dividing Radicals | ||
| #1 | √5 × 3√2 |
3√10 |
| #2 | √(432/3) |
12 |
| #3 | 2√18 × 3√8 |
72 |
| #4 | √125 |
1 |
| #5 | 3√7 (2√7 + 4) |
42 + 12√7 |
| Simplifying Radicals | ||
| #1 | √196 |
14 |
| #2 | √48 |
4√3 |
| #3 | 3√50 |
15√2 |
| #4 | √720 |
12√5 |
| #5 | √(8x³y²) |
2xy√(2x) |
| Rationalizing Radical Expressions | ||
| #1 | √5 |
|
| #2 | 7 |
7√3 |
| #3 | -12√24 |
-8√3 |
| #4 | ||
| #5 | 4 + √3 |
|
| FOILing Radicals | ||
| #1 | (6 + √2) (6 - √2) |
34 |
| #2 | (√5 + √3) (√5 - √3) |
2 |
| #3 | (√a + √b) (√a - √b) |
a - b |
| #4 | (√3 + 2) (√3 + 1) |
5 + 3√3 |
| #5 | (√3 + 5)² |
28 + 10√3 |
| Final Question | |