00:03
Okay, so in order to simplify a radical expression with multiple variables underneath the radical, we need to look at each component, in this case, both a's and b's.
00:19
And we want to be able to make both of our radicals in this situation contain the exact same expression.
00:31
And that means the same thing for both of our variables.
00:36
So in this case, a and b.
00:39
Now, we don't have the same thing starting off.
00:42
We've got a, b in one of them, and a, b, cubed times b, or a cubed times b in the second one.
00:51
So we want to go ahead and get the same thing underneath the radical for each of these.
00:57
So for our first one, our first one here, 5a times a square root of ab.
01:05
I can't do anything with ab.
01:06
It's already reduced out far enough.
01:08
But what i can do is expand on this a.
01:13
And so i've got a times a squared.
01:19
If something is squared, that means i can take the square root of it.
01:23
So if i were to put this back into my original expression, so 2 times a times a squared times b...