Question

How do you multiply real and imaginary number $?$

Answer 1

To multiply real and imaginary number:

We know that a complex number is a combination of real numbers and imaginary numbers. The complex number may be either real or imaginary if one of its parts is zero.

For example, $3+4i$is a complex number.

If a complex number$\mathrm{(}\mathrm{a}\mathrm{+}\mathrm{bi}\mathrm{)}$ is multiplied by a real number $\text{'}\text{'}x\text{'}\text{'}$, we get the result as:

$\mathbf{(}\mathbf{a}\mathbf{+}\mathbf{b}\mathbf{i}\mathbf{)}\mathit{x}\mathbf{=}\mathit{a}\mathit{x}\mathbf{+}\mathit{b}\mathit{x}\mathbf{}\mathit{i}$

For example,$a=3,b=4andx=2$

$$\begin{gathered} (3+4\mathrm{i})2 \\ =3\times 2+(2\times 4)i \\ =6+8i \end{gathered}$$

Hence, real number and imaginary number can be multiplied by above stated way.