# Subtracting radical numbers after simplifying

**square root of 98** This is a topic that many people are looking for.

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**Subtracting radical numbers after simplifying**. Following along are instructions in the video below:

all right so looking at the problem like this we have square root of 98 minus the square root of 32 all right so what we need to do ladies and gentlemen to be able to combine these the only way you can combine your radicals is to make sure that you have them that theyre like terms all right obviously square root of 98 and the square root of 32 are not like terms and you cannot just simply say that because lets

go back to some easier answers the square root of 9 minus the square root of 4 well we know the square root of 9 is 3 and the square root of 4 is 2 so that answer equals 1 right so dont try to tell me that the square root of 9 minus 4 is the square root of 5 right you guys can see how that doesnt make sense right okay so we cant just say 9 2 the square root of

98 minus 32 thats not going to work what were gonna have to do is simplify these so going back to our product rule I need to say can I rewrite this as a square term well 98 I can rewrite that as the square root of 49 times 2 minus 2 times 16 times 2 right then I can now take the school I can now rewrite this lets do it this way because its been practising as seven squared times 2 minus

2 times 4 squared times 2 well obviously now we can break this up so this is going to be 7 times the square root of 2 minus 2 times the square root of 2 well now ladies and gentleman this is just like using your variables all right sorry right now its 4 man say it today is just being a little rough with me so we have 7 square root of 2 minus 2 times 4 times square root of 2 so

square root of 2 minus 8 square root of 2 well ladies and gentleman this is just gonna be the same thing as 7x minus 8x which is gonna provide you with negative square root of 2 okay so once you get them to be the like once you get them to be the same do not say m– then you can combine them all right all right I am very very sick of teaching because Ive been doing it all class period I apologize

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