Mathematics Answers - MathHelp.com - 1000+ Online Math Lessons - By MathHelp.com
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| 00:0-1 | The following is a selected video from your teacher.com where | |
| 00:03 | you can browse over 450 complete math lessons with example | |
| 00:07 | videos , interactive practice problems , self tests and more | |
| 00:11 | . Try a complete lesson today at your teacher dot | |
| 00:14 | com Here were asked to simplify the square root of | |
| 00:21 | 98 . The difference with this example is that 98 | |
| 00:26 | is not a perfect square . In other words , | |
| 00:30 | it's impossible to find a whole number times itself , | |
| 00:35 | which equals 98 . However , it's important to understand | |
| 00:41 | that the square root of 98 can still be simplified | |
| 00:46 | to understand how let's take a look at the problem | |
| 00:50 | from the previous example , The Square Root of 25 | |
| 00:57 | . Mhm . since 25 factors as five times 5 | |
| 01:05 | , The Square Root of 25 is five . Yeah | |
| 01:12 | . In other words , since we have a pair | |
| 01:15 | of factors that are the same , One of these | |
| 01:18 | factors in this case of five can come out of | |
| 01:23 | the radical . So the square root of 25 is | |
| 01:28 | five . The same technique can be used to simplify | |
| 01:33 | the square root of 98 . Notice that 98 factors | |
| 01:40 | As two times 49 and 49 factors As seven times | |
| 01:48 | 7 . So we have a pair of sevens in | |
| 01:52 | our factor tree . This means that a seven can | |
| 01:56 | come out of the radical . Mhm and notice that | |
| 02:01 | we have a two in our factor tree that doesn't | |
| 02:04 | pair up . This means that a two stays inside | |
| 02:08 | the radical , Which gives us seven times the square | |
| 02:12 | root of two . So the square root of 98 | |
| 02:17 | simplifies to seven route to . |
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