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For z = 2 + 3i verify the following: (z+z¯) is real - Mathematics and Statistics

Sum

For z = 2 + 3i verify the following:

`("z" + bar"z")` is real

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Solution

`("z" + bar"z")` = (2 + 3i) + (2 – 3i)

= 2 + 3i + 2 – 3i

= 4, which is a real number

∴ `"z" + bar"z"` is real.

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