Simplifying Cube Roots | MathHelp.com - By MathHelp.com
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| 00:0-1 | to simplify a cube root where the number inside the | |
| 00:03 | radical is not a perfect cube . Again , we | |
| 00:07 | start by making a factor tree for the number inside | |
| 00:12 | 48 is two times 24 . 24 is two times | |
| 00:18 | 12 . 12 is two times six and six is | |
| 00:22 | two times three . The difference with a cube root | |
| 00:28 | is that instead of looking for pairs of factors that | |
| 00:31 | are the same , we're looking for groups of three | |
| 00:34 | factors that are the same . And here you'll notice | |
| 00:38 | that we have a group of 3/2 . So a | |
| 00:43 | two will come out of the cube root . The | |
| 00:48 | two and three that are left over will stay inside | |
| 00:52 | the cube root , multiplying together to make six . | |
| 00:56 | So we have two times the cube root of six | |
| 01:04 | . Yeah , as you break down cube roots , | |
| 01:08 | it helps to be able to recognize perfect cubes . | |
| 01:12 | So in our next example , let's go over the | |
| 01:15 | perfect cubes for the numbers between one and 6 . |
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