7th Grade Math | MathHelp.com - By MathHelp.com
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00:0-1 | Here , were asked to simplify the square root of | |
00:03 | 98 . The difference with this example is that 98 | |
00:09 | is not a perfect square . In other words , | |
00:13 | it's impossible to find a whole number times itself which | |
00:18 | equals 98 . However , it's important to understand that | |
00:24 | the square root of 98 can still be simplified to | |
00:29 | understand how let's take a look at the problem from | |
00:33 | the previous example , The Square Root of 25 . | |
00:42 | since 25 factors as five times 5 , The Square | |
00:49 | Root of 25 is five . In other words , | |
00:56 | since we have a pair of factors that are the | |
00:59 | same . One of these factors in this case of | |
01:03 | five can come out of the radical . So the | |
01:08 | square root of 25 is five . The same technique | |
01:14 | can be used to simplify the square root of 98 | |
01:19 | . Notice that 98 factors as two times 49 and | |
01:27 | 49 factors As seven times 7 . So we have | |
01:33 | a pair of sevens in our factor tree . This | |
01:38 | means that a seven can come out of the radical | |
01:43 | and notice that we have a two in our factor | |
01:45 | tree that doesn't pair up . This means that a | |
01:49 | two stays inside the radical , which gives us seven | |
01:54 | times the square root of two , So the square | |
01:58 | root of 98 simplifies to seven route to . |
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