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Criswell Geometry
Operations with Radicals Review (Chapter 1)
| Question | Answer |
|---|---|
| 1^2 | 1 |
| 2^2 | 4 |
| 3^2 | 9 |
| 4^2 | 16 |
| 5^2 | 25 |
| 6^2 | 36 |
| 7^2 | 49 |
| 8^2 | 64 |
| 9^2 | 81 |
| 10^2 | 100 |
| 11^2 | 121 |
| 12^2 | 144 |
| 13^2 | 169 |
| 14^2 | 196 |
| 15^2 | 225 |
| 16^2 | 256 |
| 17^2 | 289 |
| 18^2 | 324 |
| 19^2 | 361 |
| 20^2 | 400 |
| 21^2 | 441 |
| 22^2 | 484 |
| 23^2 | 529 |
| 24^2 | 576 |
| 25^2 | 625 |
| What is the ratio of sides for a 45–45–90 triangle? | x : x : x√2 |
| What is the ratio of sides for a 30–60–90 triangle? | short leg : long leg: hypotenuse y : y √3 : 2y |
| What are the three recommended pythagorean triples to remember? | 3 : 4 : 5 5 : 12 : 13 7 : 24 : 25 |
| What is the ratio for Sine? | opposite side to focused angle / hypotenuse |
| What is the ratio for Cosine? | adjacent side to focused angle / hypotenuse |
| What is the ratio for Tangent? | opposite side to focused angle / adjacent side to focused angle |
| What is a conjugate? | This is the term used to remove radicals in the denominator when the denominator is represented with an irrational binomial. Example: if the denominator has (3–√5), then one would multiply both the numerator and denominator by (3+√5). |