Square Roots | MathHelp.com - By MathHelp.com
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| 00:0-1 | Here were asked to simplify the square root of 75 | |
| 00:04 | Notice that 75 is not a perfect square , so | |
| 00:08 | our answer will not be an integer . In this | |
| 00:11 | situation , we start by setting up a factor tree | |
| 00:15 | , 75 is 25 times three , And 25 is | |
| 00:21 | five times 5 . Now , since we have a | |
| 00:25 | pair of fives in our factor tree of five comes | |
| 00:29 | out of the radical , however , we also have | |
| 00:32 | a three that does not pair up , so a | |
| 00:34 | three stays inside the radical , Which gives us five | |
| 00:40 | times the square root of three . So the square | |
| 00:42 | root of 75 simplifies to five Route 3 . |
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