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If |z1|=1,|z2|=2,|z3|=3and |9z1z2+4z1z3+...

If `|z_1|=1,|z_2|=2,|z_3|=3and |9z_1z_2+4z_1z_3+z_2z_3|=12` , then the value of `|barz_1+barz_2+barz_3|` is

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