00:01
So to solve for this, we need to get rid of the imaginary denominator by multiplying the numerator and the denominator by the conjugate of the denominator.
00:13
That means we multiply the numerator which is three and the denominator which is four plus one.
00:18
We the conjugate of the denominator which is four minus one.
00:24
So we multiply this for the numerator, we will get three times four that's going to be 12.
00:30
Minus three times i that's going to be three i and the denominator we have um four times four that's 16 multiplied by i mean four multiplied by negative i is negative four i and then i times four it's positive four i and then negative i multiplied by positive i it's going to be negative i squared so as you can see this will be cancelled because this is that is equivalent to zero so numerator we have 12 minus 3i and the denominator we have 16 minus i squared.
01:09
Okay, so remember that the value of i is squared of negative 1.
01:14
Since you cannot solve for that, if you square i, you will get negative 1.
01:21
Therefore, we substitute negative 1 to i squared.
01:24
That's right here...