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Adding and Subtracting Radicals

Added Apr 13, 2020 •

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Kilgore again in algebra Annie we're going to look at adding and subtracting from radicals here and I've already talked about it multiplying radicals sitting at least a little bit more about a hear news about for short problems with your neck exercises so let's go ahead and first of all simplify my paper here and that's what we're going to do and remember simplified name see what needs to be done as multiplication needs to be done do it it addition subtraction charms together simplifying a radical whatever needs to be done to do is deal with that I want us to write something down here that like rat remember we talked not like like terms when we first started with algebra and we said if we want to add a 5S and 6s that has to be at to the person next to the first because fish tank some of the same concept with radicals we have to have two times times we're going to have like radicals we must have the same in debt have we got today adding either score square roots and cube root 4th grade fourth grade stick patterns radicand number that is what is add Renee's the rap so you can add for instance the √ 11 + √ 15 you have to add a √ 15 + √ 50 + √ 8 we're waiting back and the same radicand and we'll start your simplify over here again is there going to be just ready to go the first one is here is negative square root of 3 plustime on the √ story now if you'll they do have to like radical can I can I can add these two together and I can add them but I'm going to leave the square root to three alone this is like me saying hey we got -9 square root 2 square roots change the number of how many square roots of 3 we have or I have spare ribs at 3. don't ever ever ever say hey I'm going to get square root sticks here you're not going to get square root to fit we're just going to add the patients here together the negative 5 and -4 and then we're just going to keep our square root of 3 are the negative 4 on the square root I'll throw and words at that if we could simplify course square root of 3 if it were square root of √ it hate me questions I will try to say it but we got to the square root of 2 3 + square root of 50 what time would have to be here if I had the square root of 3 at I could add a square root of 3x with a square root of 3/2 so you could have a variable underneath there with the exactly the same what now if I go on to the square root of 2 square root 2 nothing there that I can do with that it will not simplified so we're going to get Sue on the square root of how about the √ 50 that those were not like radical by a man have to simplify the square just before I started this video and I think I've got a little bit down my throat are so Apartments note to self don't do that again start start the √ 60 then I'm going to go ahead and break it down to 25 * 2 and then I'm going to take the square root of what I can sign simplification here so I've got to on the square root of 2 -3 that remember √ 25 is a 5 so we're going to bring it out front should I do what's the square rated today no way that's where we to Andrews Air by little bit -3 * 5 is -15 and then √ 6 ducats to on √ -15 + √ 6 okay now look what you got you change the look of some things a little bit here and because of that we now have like radical and we can combine sometimes hear that I'm going to say 2 - 15 is a -13 and then I'm going to see my square rooted has is so I can change the end √ -3 + √ 6 to where we can work with it to where it's more consistent to where it's not just a big mess this thing all right can you play more for you here and I'm going to change change the screen change screens on forgot Mississippi water and hopefully that'll call as I told you it is from corn chips I got a little down the wrong way a little earlier or tortilla chips we're still temples and this is number 3 and this time we're going to do a 5 on the square root of 2 Tan on the √ 15 pound of pulled had a while ago as far as the same number kind of pattern but I do want to just for mine just sent them here it would be a Versailles canteen so that's going to be 15 on the √ 52 + we just look at him we see its lifetime you only add the integers in French and you can only add or subtract those if you had the same radicand and it took good handmaid's a little bit of work Kaiser resist that temptation to add those and make them square root of 52 K so I'm going to keep on the Square Reader Square Reader E-Waste amplifiers on the last problem so let's go ahead and rewrite 50 is 25 * 2 and then we'll take the square root of what we can take a 5 on the square root of 2 Bill coming in there just exactly as it was √ 25 is five. So we're going to have 10 * 5 can you do anything with the square root of 6 I know you'd be paying no right now so I'm going to go ahead and write that down so we end up with 5 on the square root of 2 50 square rooted is 10 can I ask what we can so we do have √ 2 + √ maybe I've got five of them you got 50 up we suddenly has 55 of still have square roots do I have any questions whatsoever let me know by email if you do all right I want to hear let's do one more together before we finish this up now the ones I've given you have been just one to simplify 1 radical 2 simplified but there's no law that says that you may not have to simplify better stuff you might have to take the first one simplify it down and the second one is canceled Hyatt okay alright let's take a look at the √ 50 going to stay I know I can't subtract square root of 15 and square root of 60 so I'm going to keep the square root of 15 as he has that ice tank for √ 60 of a year I believe I can ride it up as 4 * 15 if my multiplication is correct and then I can see something changing here or something coming about for me some of that has seven on the square 15 Mariners score Texas square root of 4 which is two I would suggest she be is systematic and organized with this as possible so because it if things if you try to do and I cannot do anything with the square root of 15 I cannot sign a lease at underneath and then did a little simple the case so 4 * 2 is 857 √ 16 - 8 √ 15 I now have like radical I'm ready never ever ever subtract what's underneath the radical that do subtract the number the same as a -1 you can just sit a negative if you want to do or you consider square root of 2/10 and I'm just going to put it over here you should also have this can't probably to be they completely honest with you you're probably going to say this one more often than this if you were taking a standardized test or something your sat or act your Sol that's not hanging over our heads right now but if you had Sia then if you had a standardized test and it's probably going to be more like this then okay do I have any questions addition and subtraction at that if you need me please email me and remember you're working at run Pace but make sure you don't let yourself get the okay please email me you made me and I hope everybody is well I wish you and your family take care of yourself and keep working hard bye-bye

Uploaded by Hattie Kilgore.

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Adding and Subtracting Radicals

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