00:01
In this problem, we are going to find the complex conjugate of a complex number.
00:07
So the complex number that we have to find the complex conjugate of is 1 plus root over 8.
00:16
Let us consider this number, this complex number, to be equals to z.
00:21
Now first of all, let us try to simplify this number.
00:25
So note that root over 8 can be simplified by writing 8 as 8.
00:31
4 into 2.
00:34
So you can split that as root 4 into root 2.
00:41
And root 4 is just 2.
00:45
So this is 2 root 2.
00:47
So the given complex number can be written as 1 plus 2 root over 2.
00:53
Now in order to find the complex conjugate of the number, the complex conjugate is denoted as z -by.
01:03
Now over here all you need to do is change the sign of the imaginary part.
01:09
But look at this number, z, this is 1 plus 2 root 2, this has no imaginary part.
01:17
So there is no part where we need to change the sign...