11Use the result
|z1 + z2 | 2 + |z1 - z2| 2 = 2 {|z1| 2 + |z2| 2 }
Prove that \left|\alpha +\sqrt {\alpha ^2 -\beta ^2} \right|+\left|\alpha -\sqrt {\alpha ^2 -\beta ^2} \right|=\left|\alpha +\beta \right|+\left|\alpha -\beta \right| where α,β are complex numbers
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