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Lesson 9.1 Day 2 # 54

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Okay, call me to help you out with one of the problems for the homework tonight in less than 9.1 Day 2. This is actually number 54 wea. During the after school help today last students were struggling on just kind of how to start a number like 1:08, so if your phone. How long we're going to get started that's writing down the problem our first step is to apply the quotient property of raffles so are. Step is to rewrite this as the cube root of 1 and the numerator over the cube root of 100. Why squared?  And then from there, hopefully you recognize that one as well the perfect square a perfect cue sort of works out nice for us. Are you made it would have one on top, but we need to figure out what to do with this radical? Cube root of 108 why Square Okay, so 108 is not a perfect you and the way you would know that is to create yourself a list of some basic perfect you can talk to you about that for last couple. And you can I'm going to go off to the side another color so you can just take your calculator and start with two cubes, and you would get it and then you would say. three cubed  and you'll get 27 it's a 14 which should be 64. Hi Cube. Which is 125? and 6 cubes Which is 216? And 7 Cubes and so forth but at this point. This is all we need to help us with a nice homework. So these are kids are still fairly new to you all you've experienced them in 7th grade, but there. You're not super familiar with them. So you just need more practice. Just like you're really good with your perfect square cuz you've seen them so many times and using summertime now we just You to get familiar with some perfect cubes some basic ones like I showed off to the side over here, so looking at 1:08. I realize that. There's this connection between 1:08 and 2 Teen 108 is not a perfect Cuban anyway, and it looks like it would fall between 4 cubes invite you, but it doesn't. So I have to ask myself. Just like we did with some of the numbers like 32 and our practice problems and ford our practice problems. We had think or 9 I think 9 with example. What could I do to 108 or x 108 to get to a perfect cuban this case if i x 9/8 x 2 I will get? 16 cuz 108 + 108 give me 216 I also need my variable why why squares top of the perfect Cube? So after thing what what i x squared by to turn it into something like why cubed and hopefully you're thinking in your mind. I can multiply Tim's wife. So that would lead us to rationalize the denominator. I multiplying. the Bottom the denominator by the Cube root of 2 Do the same for the top?  to wife  and then go ahead and This for Craig here give yourself more space. And the reason for night cuz one 108 sense to will give me this 216 + y square x y? Amy my cute now get a perfect cue so my next step.  would be that I would have one x 2 Q for this to why which I'm just going to leave a Cube root of 2 wife  all over the Cube root of 216 why Q Hi, multiply.  This radical times is radical. That's what I get.  Alright, that's good because 216 is a perfect Cube and so is why? Cute so I'm going to go ahead and enter a slight perfect cube list here so I can finish off my problem. I hope I have the cube root of 2  And on the bottom I have 6 cuz he said 6 kids as soon as you've seen 6 bye. My cute is wife, and there's nothing else to simplify I cannot simplify a radical or cube root of 2/6 life. That's his. as Legal

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Lesson 9.1 Day 2 # 54

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