Minimum value of|z1 +1|+|z2+1|+|z1 z2+ 1...

Minimum value of`|z_1 +1|+|z_2+1|+|z_1 z_2+ 1|` if `|z_1| = 1, |z_2| = 1` is

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Minimum value of |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 is ________.

Minimum value of |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 is ________.

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