If z1 and z2 are two complex numbers- then prove that - z 1 - - z 2 - - z 1 - z 2 2 - z 1 z 2 - - z 1 - z 2 2 - z 1 z 2 -

RHS= |z_1+z_2+2√(z_1z_2)2|+|z_1 1z_2 2√(z_1z_2)/2| =|√(z_1)+√(z_2)|^2/2+|√(z_1) √(z_2)|^2/2 =|z_1|+|z_2|+2√(z_1z_2)+|z_1|+|z_2| 2√(z_1z_2)/2 ...

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Modulus of a Complex Number

If z1 and ...

Question

If $z_{1}$ and $z_{2}$ are two complex numbers, then prove that
$| z_{1} | + | z_{2} | = ∣ ∣ ∣ \frac{z_{1} + z_{2}}{2} + \sqrt{z_{1} z_{2}} ∣ ∣ ∣ + ∣ ∣ ∣ \frac{z_{1} + z_{2}}{2} - \sqrt{z_{1} z_{2}} ∣ ∣ ∣$

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