00:02
So in order to perform addition and subtraction with radicals, we need to look at a few factors that we need to make sure are okay before we can actually perform arithmetic with these.
00:29
Okay, so let's look at two examples.
00:33
So let's say i have square root of two plus three square root of two.
00:56
And then i also have another one, two square root of three plus three square root of two.
01:18
So the first thing i want to know before, if i even think it's possible to add on subtract is i need to make sure that my radicals are alike.
01:35
And so basically they need to be the same.
01:40
So if we look at this from our first example, we've got a square root of two and a square root of two.
01:55
Those are the same, so it would pass the test.
02:00
Now, if we look at our second example, we've got square root of three and a square root of two.
02:13
Square root of three and square root of two are not the same.
02:16
So this would not pass.
02:17
So that means we cannot do simple addition and subtraction of these guys.
02:23
So we would have to do a lot more complicated work in order to be able to actually combine them.
02:29
The next step that i want to do is go ahead and actually factor out my.
02:36
Radical.
02:43
So if we look at this for example a or example number one, i would want to pull out my square root of twos and separate them.
02:56
So i'm going to put them in the front of my equation here, square root of two.
03:02
And then in parentheses, i will add in my coefficients that are seen in the original expression...