7th Grade Math | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

7th Grade Math | MathHelp.com - Free Educational videos for Students in k-12


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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