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find the modulus of 1+i(3pi)/5

2007-08-26 05:26:14 · 3 answers · asked by Pinky 2 in Science & Mathematics Mathematics

3 answers

The modulus of a complex number is the square root of the sum of the squares of the real and imaginary components; in essence, the distance from the origin.

Thus, we compute: sqrt(1^2 + ((3pi)/5)^2)
= sqrt(1+ (9pi^2)/25)

2007-08-26 05:32:59 · answer #1 · answered by NSurveyor 4 · 0 0

Desired modulous=sqrt[1^2+(3pi/5)]^2]
=sqrt[1+9pi^2/25].

2007-08-26 05:30:39 · answer #2 · answered by Anonymous · 0 0

let v = (1/5) [1 + i (3π) ]
| v | = (1/5) [ 1² + (3π) ² ]^(1/2)
| v | = (1/5) [ 1 + 88.8]^(1/2)
| v | = (1/5) (99.8)^(1/2)
| v | = 2.0 ( to 1 decimal place)

2007-08-26 07:35:37 · answer #3 · answered by Como 7 · 1 0

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