| Simplify Radicals | ||
| #1 | R200 | 10R2 |
| #2 | R125 | 5R5 |
| #3 | R63t^4 | 3t^2R7 |
| #4 | R48n^3 | 4nR3n |
| #5 | -2bR136b^2 | -4b^2R34 |
| Multiplying and Dividing Radicals | ||
| #1 | R6 times R30 | 6R5 |
| #2 | -4R7 times R42 | -28R6 |
| #3 | R2n^2 times R30n | 2nR15n |
| #4 | R(100/225) | 2/3 |
| #5 | R(49x^5/25x) | 7x^2/5 |
| Add or Subtract Radicals | ||
| #1 | 3R7 + 5R7 | 8R7 |
| #2 | 4R5 - 11R5 | -7R5 |
| #3 | 4R7 - R63 | R7 |
| #4 | 6R8 -2R50 | 2R2 |
| #5 | 5R18 + 4R32 | 21R2 |
| Multiplying Radicals | ||
| #1 | R3(R12 + 4) | 6 + 4R3 |
| #2 | R8(R3 + 3) | 2R6 + 6R2 |
| #3 | (R3 - 4)^2 | 19 - 8R3 |
| #4 | (2R3 + R5)(6R5 - 4R3) | 8R15 + 6 |
| #5 | Find the area of a rectangle having length of 3R10 and width of 4R5 | 60R2 |
| Solving Radical Equations | ||
| #1 | A right triangle has hypotenuse of 20 ft, a leg of 12 ft, what is the measure of the other leg? | 16 ft |
| #2 | R[6c +4] = 8 | 10 |
| #3 | R[4d+3]=R[7d-3] | 2 |
| #4 | 4 -R2x = -6 | 50 |
| #5 | Which is the extraneous solution of -x = R[2x + 15] | 5 |
| Final Question | |
| A pendulum of a cuckoo clock completes a full swing every T seconds. Given T = 2R[L/3.3], where L is the length in meters of the pendulum. Each swing takes 0.5 s, find the length in centimeters. | 20.625 cm |