00:01
In this problem, we're being asked to multiply the quantity of 2 minus the square root of negative 16 by the quantity of 3 plus the square root of negative 4.
00:10
Well, what we need to do first is simplify our radicals.
00:14
So let's start with that first quantity.
00:16
Well, we're going to have 2 minus, and now we're going to look at the square root of negative 16.
00:21
Well, because we have the negative inside the square root, we can make it positive by taking out an i, and then we're left with the square root of the 16, which is just 4.
00:30
So our first quantity just becomes the complex number 2 minus 4i.
00:36
Now let's look at our second quantity.
00:38
So we're going to bring down the 3 and the plus, and now we're going to look at the square root of negative 4.
00:43
Well, to get rid of the negative inside the square root, we take out an i, and then we're left with the square root which is 2.
00:50
So now we're just left with the complex number 3 plus 2i.
00:54
And now we need to multiply these two complex numbers.
00:58
Well, to do that, we're going to use the foil method...