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sattari [20]
3 years ago
5

What is the absolute value of -4-√2i

Mathematics
1 answer:
rodikova [14]3 years ago
7 0
For x +iy  absolute value =  √(x² + y²)

Absolute value of  -4-√2i = -4-i√2,  comparing x = -4, y= -√2
<span>         
Absolute value = </span>√( (-4)² + (-√2)²),        
             
                    (-4)² = (-4)*(-4) = 16,  (-√2)² = -√2 * -√2 = 2
<span> 
                         = </span><span>√( (-4)² + (-√2)²)
</span><span>
                         </span>= √(16 + 4) = √20

√20 = √(4*5) = √4 * √5 = 2√5

Absolute value = <span>2√5</span>
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