| s-1
| Am I doing that right so far? |
| s-2
| Mhm. |
| s-3
| All the way down to that? |
| s-4
| Mhm. |
| s-5
| I think. |
| s-6
| I don't think I am. |
| s-7
| Do you? |
| s-8
| And you'd have to have that plus or minus. |
| s-9
| What? |
| s-10
| I don't know what I did to get that. |
| s-11
| Where did I get that square root of — um, x squared? |
| s-12
| Because you brought this over here. |
| s-13
| You brought three over here, divided by three, and then you have x squared, so if you want to find x, you have the square root of x squared. |
| s-14
| I guess all I can't figure out is, what the square root of negative two thir – thi – two thirds is. |
| s-15
| Would that be, i square root two thirds? |
| s-16
| i square root two o – over three. |
| s-17
| The whole thing would be over three. |
| s-18
| Well. |
| s-19
| No it couldn't be. |
| s-20
| Square root of two thirds, yeah. |
| s-21
| But then you got the other one Nathan. |
| s-22
| Oh, gosh, hm. |
| s-23
| Leah. |
| s-24
| She snoozing on the floor? |
| s-25
| Mhm. |
| s-26
| Not anymore, you woke her up. |
| s-27
| She's doing the Karate Kid, Nathan. |
| s-28
| She's like, 'leave me alone. Do I deserve this?' |
| s-29
| I mean how would you like it, when you're laying in bed, somebody just grabbed your arm, started swinging it around? |
| s-30
| I'd probably just slap em. |
| s-31
| X squared equals one over the square root of that, the square root of that, x equals the square root of one. |
| s-32
| She's not even looking at me. |
| s-33
| She's just looking, like — |
| s-34
| I know. |
| s-35
| That's what I'm talking about. |
| s-36
| So, would that one be, square root of one half? |
| s-37
| Mhm. |
| s-38
| It would? |
| s-39
| Mhm. |
| s-40
| Yep. |
| s-41
| But do y'all have to do that, um, you have to like, have it where you do that, there's no, um. |
| s-42
| Fraction under the – |
| s-43
| Under the, in the denominator? |
| s-44
| I mean no fraction under the — |
| s-45
| Oh yeah. |
| s-46
| So then you just multiply, the whole thing by the square root of two, and you get the square root of two over two. |
| s-47
| Even for the top one? |
| s-48
| Even for that one? |
| s-49
| No. |
| s-50
| For — I'm talking about for this one. |
| s-51
| Oh. |
| s-52
| All you do is like go, t- two over one. |
| s-53
| You have the square root of one. |
| s-54
| Like that, right? |
| s-55
| Mhm. |
| s-56
| Since you have the square root of two on the bottom, to make that a square, you have to multiply by the square root of two. |
| s-57
| And then you get two, and you multiply the top by the square root of two, and you get, square root of two. |
| s-58
| What? |
| s-59
| I wanna rewind it and hear that back again. |
| s-60
| Cause I sure didn't catch it the first time. |
| s-61
| You got the two, and you take the square root of two, and you get the negative two, which you take the square, and it comes to two. |
| s-62
| I'm sorry. |
| s-63
| So, let's talk about this slowly, as I write this down, as you're saying it. |
| s-64
| Alright? |
| s-65
| This is what we came out with. |
| s-66
| Right? |
| s-67
| It's — But put it as the square root of one, over the square root of two. |
| s-68
| Oh. |
| s-69
| And then you multiply that by the square root of two, over the square root of two. |
| s-70
| Right. |
| s-71
| Uh, is that what all those square root of twos are? |
| s-72
| That's what I was try — That's what I was trying to say. |
| s-73
| Okay, I was wondering where all that, square root two, square root two. |
| s-74
| That's what it was. |
| s-75
| Then right here you'd get, square root of two over two. |
| s-76
| Mhm. |
| s-77
| See everything was square root two, over two, and two, |
| s-78
| Right, but then, what about this one? |
| s-79
| On this one. |
| s-80
| Let me do this one. |
| s-81
| But, you have i — you have i square root of three, over square root of three. |
| s-82
| I mean z — i square root of two over three — square root of three. |
| s-83
| I can't even say it right. |
| s-84
| Over, do I have another i down here, or just the one i? |
| s-85
| Um, no. |
| s-86
| Just one. |
| s-87
| Okay, three and square root of three, over square root of three, and you get — |
| s-88
| i square root of six. |
| s-89
| Yeah. |
| s-90
| Over three. |
| s-91
| Is that right? |
| s-92
| I doubt it. |
| s-93
| I really do. |
| s-94
| I'm not kidding. |
| s-95
| You can't — You can't multiply square roots like that, can you? |
| s-96
| Square root of two, times square root of three, is square root of six, is it? |
| s-97
| Yeah. |
| s-98
| Okay. |
| s-99
| Well, then that's fine. |
| s-100
| Then that is right. |