CV16

From Exampleproblems

If $z=5+(3\sqrt{2})i\,$ Find $z\bar{z} \,$ Given $z=5+(3\sqrt{2})i\,$

Then, As per the complex theory $\bar{z}=5-(3\sqrt{2})i\,$

$z\bar{z}=(5+(3\sqrt{2})i)(5-(3\sqrt{2})i)\,$

$z\bar{z}=5^2-((3\sqrt{2})i)^{2}\,$

$z\bar{z}=25-((9\cdot2\cdot(i)^{2})\,$

$z\bar{z}=25+18\,$

The solution is $z\bar{z}=43\,$