00:06
Okay, so what we want to do is go ahead and write out our equation here that we need to simplify.
00:16
So i've got u to the second power times v to the sixth power, and all of that we're taking the third root of, and that's going to be plus the third root of u square.
00:39
Okay, so what i want to do is go ahead and rewrite this, but in doing so, i want to expand what's inside of my actual third roots here, these radicals, so that i can see what i can actually simplify.
01:02
And so what we see in this first bracket here is that i've got u squared, which means i've got u times u.
01:14
And then i've got v to the six power, so i've got actually six v is being multiplied.
01:30
Expand my radical to fit everything.
01:33
And then i want to do the same thing on the other side.
01:36
So third root of u squared, it's going to be u times you.
01:46
So now what i want to do is identify groups of three because i'm taking the third root here.
01:51
So i got one, two, only two u, so i can't take the third root of that.
01:57
I have three vs here, so i can actually take the third root of those.
02:03
And i have another set of three, so i can take the third root of those as well.
02:10
So that's going to give me v times v out front.
02:24
And if we look at our second radical over here, i've got one, two u's, but that's not enough to take the third route.
02:32
So those are just going to stay as is...