00:02
This time they want us to prove this number is irrational by finding a ratio of two integers, so a fraction that makes them.
00:11
Well, let's ease the burden on us a little bit.
00:13
We can separate this as negative 1 plus 0 .6 repeated.
00:19
Oh, no, subtract.
00:21
Subtract, subtract.
00:23
There we go.
00:25
Okay, now we can just think about 0 .6, but if you think about it, when you get a calculator, so recall if you ever held a calculator, before from your experience using it, let go.
00:38
What gives you this number when you divide it by another? that's actually two thirds, right? so a big hint if you ever use calculator before.
00:50
What we actually have here is actually negative one minus two thirds...