He's pulling the 2 out of the 18 and sticking it on the extra factor of y. Basically, it's the same as
He's doing it because 9 is a perfect square (3*3), and he's trying to factor out all such squares. Make sense?
i'm following paul's notes @ Pauls Online Notes : Algebra - Radicals and needless to say i'm starting to get a little confused.
I'm on the example 3c
So because the radical is larger than the index, it must be simplied..got it. i understand that you have to break it down as well. says that we must break them up into perfect squares, which gets this.
Now i'm lost with this. How did the 18 get divided by two?
i understand that the y must be cut as its a multiple of 2, by why did it turn into a 2y? to me it seems like it would of been a y10 y..instead of a y10 (2y). i seem a bit lost on where that 2y comes into play ..or how it came to be. any pointers?
so what if the 18 was a 20. would it still be divided by 2? or was the only reason it was even divided by 2 was because it took it to a perfect square. i'm sure you already said that, but i'm just making sure lol. but if it was a 20..then the x3 and y5 would not of been multiplied by 2?..
Sure. There's a latex help sub-forum that will go into more specifics, but in general, if you want a piece of writing to be in that style, begin by typing [tex] (text goes here) [ /math], without the space before the slash. If you double click on my writing, you can see the text that generates it. Use \sqrt{} for a square root, ^ for raising something to a power.