00:01
So in this problem, we're given this number line here, and we're given four points on it.
00:08
Here's zero.
00:09
Here's one.
00:13
Here's two.
00:16
There's three.
00:17
And here's four.
00:19
And we're given this point d here, c's here, b is here, and a is here.
00:32
And we're asked which point represents the square root of three.
00:42
The value of the square root of three.
00:45
All right.
00:45
Well, first of all, we know that the square root of three is not equal to three, right? because if it were, then we could square both sides and they would still be equal, but that would be that three is equal to nine, which is not true.
01:00
So we know it's not d because d is at three.
01:04
We also know that the square root of three is not equal to one.
01:09
Again, i could square both sides and i have three is equal to one.
01:12
That's not, that's not work.
01:15
So a is out.
01:16
So it's either b or c.
01:19
Okay.
01:20
Well, what do we know? we know that 3 squared is 9, and we know that 4 is less than 9 is less than 16...