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If |z1|=2, |z2|=3, |z3|=4 and |2z1+3z2 ...

If `|z_1|=2, |z_2|=3, |z_3|=4` and `|2z_1+3z_2 + 4z_3|=9` , then value of `|8z_2z_3 + 27z_3z_1 + 64z_1z_2|^(1//3)` is :

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