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All right so here we have the square root of a number that's not a square number okay, so you know what we previously talked about is we have the square root of square number squares cancel out, and we're left with an X, so that was very helpful when we have like the square root of 25 because we know we could rewrite that as five squared would equal or the square root of five squared which equals five all right well here we got a problem because 24 is not a square number right we can't rewrite this as a number of squared equals 24 we can just cancel them out so what I'm going to do is I'm going to look to the square numbers that I do know and see if some way we can rewrite 24 with those square numbers so the square numbers I do know is 4 9 16 25, and obviously I'm not going to keep on going because you know it's above 24, so we know 4 that's equal to 2 squared this is equal to 3 squared that's equal to 4 4 squared and that's equal to 5 squared right, so I could take the square root of these numbers and I would get 2 3 4 or 5 right you understand how the cancelling out would work so what I want to do is I want to see can I rewrite 24 as a multiplication you know one of these square numbers in their so can I rewrite 24 is maybe like a product of one of these numbers in another number as a multiple of one of these numbers so think about it could I rewrite you know obviously 25 does not evenly go into 24, so that's not going to work could I rewrite 16 as a multiple to equal 24 no no not as a whole number right does 9 even evenly go into 24 no no does 4 evenly go into 24 yes dad goes right so 4 evenly goes in there 6 times so what I'm going to do is I can rewrite this as four times six right I haven't changed the math problem at all I haven't changed anything I just rewrite 24 as four times six yeah now the only reason why I want to do that like I said we're trying to simplify this, so now I can say oh well I can rewrite 4 as 2 squared 2 squared times 6 and that helps me out because now going back to this rule when you have the square root of something squared they cancel out an equal x so the square root of 2 squared is going to cancel out however I cannot rewrite 6 as that squared number can I no so that 6 is going to have to remain under the radical it only cancels out for the 2 so my final insult the 2 gets pulled out from the radical, but I'm left with two radical 6 ok yeah questions from that
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