Answer:
im pretty sure its 64 if not im so sorry
 
        
             
        
        
        
The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.
<h3>
Absolute values of the complex numbers</h3>
The absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

(-1+sqrt3i)^12 = (-1 + √3i)¹²

(sqrt 3-i)^6 = (√3 - i)⁶

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

(sqrt2-i)^6 = (√2 - i)⁶

Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.
Learn more about complex numbers here: brainly.com/question/10662770
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Answer:
   √13 ≈ 3.6056
Step-by-step explanation:
The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...
   c² = a² + b² - 2ab·cos(C)
   c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13
   c = √13 ≈ 3.6056
The length of the third side is √13, about 3.6056.