Question

Calcule: a) |-2-3i| ; b) |-8+15i| ; c) |1+√3i| .

Answer 1

olá, resolveria assim:
Letra "A" |-2-3i| :

z=√3-i 
a =√3 
b = 2
módulo(p) =√[a²+b²] =√[(√(-2))²+(-3)²] =√[4-9] = √[5 = 2.23

Letra "B" |-8+15i| :

z=√15-i 
a =√15
b = -8
módulo(p) =√[a²+b²] =√[(√15)²+(-8)²] =√[225+64] = √289 = 17

Letra "C" | 1 +√3i|

z=√3-i 
a =√3 
b = 1 
módulo(p) =√[a²+b²] =√[(√3)²+(1)²] =√[3+1] = √4 = 2