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azamat
3 years ago
10

The modulus of (3 + 4i)4 is _____. 5 20 125 625

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0
(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20
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