00:01
With radicals, we have to isolate one of the radicals.
00:02
So in a case like this, i'm going to choose one of them.
00:05
I'm going to go ahead and isolate this radical because then i can just add the other one to the other side.
00:10
So when i do that and i add it, it's now going to be just the square root of x minus 5 plus 2.
00:16
So then from there, we can square both sides.
00:20
So when i square the left -hand side, i'm just going to be squaring the radical, so that's going to be left with x plus 7.
00:25
On the right -hand side, we've got the square root of x minus 5 plus 2.
00:30
Times the square root of x minus 5 plus 2 like this.
00:34
So i'm going to go ahead and foil that out.
00:36
And the square root of x minus 5 times itself is going to bring it out of the radical.
00:40
The outside and inside gets 2 and 2.
00:43
So altogether it's going to be 4 times the square root of x minus 5 and then 2 times 2 is 4.
00:49
So now i've got to isolate this new radical...