Properties of Complex Numbers

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What is an imaginary number?

Is an imaginary number real number?

Provide examples of numbers that are pure imaginary numbers. What is the pattern formed by the powers of $i$ ? Can we say product of $(2 - 3i)(2 - 3i)$ is imaginary? If conjugate of $z$ is $\bar{z}$$\overline{z}$ , then is $z\bar{z}$$z\overline{z}$ a real number?