CV16

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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\cdot 2\cdot (i)^{{2}})\,

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

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

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