If \( \left|z_{1}\right|=2,\left|z_{2}\right|=3, \quad\left|z_{3}\r...

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If \( \left|z_{1}\right|=2,\left|z_{2}\right|=3, \quad\left|z_{3}\right|=4 \) and \( \left|2 z_{1}+3 z_{2}+4 z_{3}\right|=9 \), then value of \( \left|8 z_{2} z_{3}+27 z_{3} z_{1}+64 z_{1} z_{2}\right|^{1 / 3} \) is :
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