Assuming that the question is in the context of complex number, the product of any real number with itself (its square) is a real number.
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Graphically, the conjugate of a complex number is its reflection on the real axis.
When a complex number is multiplied by its conjugate, the product is a real number and the imaginary number disappears.
The complex conjugate of a number in the form a + bi is simply the same number with the sign of the imaginary part changed. In this case, the number is 7 + 3i, so its complex conjugate would be 7 - 3i. This is because the complex conjugate reflects the number across the real axis on the complex plane.
For any number (a + bi), its conjugate is (a - bi), so the real part stays the same, and the imaginary part is negated.For this one, conjugate of [-3 - 9i] is: -3 + 9i
Yes. If you multiply X + iY by X - iY you get X2 + Y2. The imaginary parts cancel out.