Complex Numbers And Quadratic Equations question 494

Question: If $ | z_1 |=1,| z_2 |=2,| z_3 |=3 $ and $ | 9z_1z_2+4z_1z_3+z_2z_3 |=12 $ , then the value of $ | z_1+z_2+z_3 | $ is equal to :

Solution:

Answer: 2.00