00:03
Okay, so there's a short and quick and easy answer to this, but i want us to think about why some of these are not true.
00:11
If x is irrational, if x is irrational, let's just give an example.
00:16
Let's just say we have the square root of two, right? the square root of two is irrational.
00:20
So if i square it, then i have the square root of two squared.
00:24
And what's that going to equal? 2, right? so 2 is a rational number, right? that means that if i have an irrational number, just any old irration number, and i square it, sometimes it's the case that that is a rational number.
00:39
But let's take pi, right? pi is another irrational number.
00:43
If i square pi, that's not a rational number...