# Cunning Complex 1

Algebra Level 4

$\large \left| { z }_{ 2 }{ z }_{ 3 }+{ 8z }_{ 3 }{ z }_{ 1 }+{ 27 }z_{ 1 }{ z }_{ 2 } \right|$

If $$\left| { z }_{ 1 } \right| =1,\left| { z }_{ 2 } \right| =2,\left| { z }_{ 3 } \right| =3$$ and $$\left| { z }_{ 1 }+{ 2z }_{ 2 }+{ 3z }_{ 3 } \right| =6$$.Find the value of the expression above.