Respuesta :
Answer:
Modulus of : 3 + 4i = 5 , -2 -i = [tex]\sqrt{5 }[/tex] , 7 =7 and 4i = 4
Step-by-step explanation:
Let A = x+iy be a complex number.
Here, modulus of A = [tex]\sqrt{x^{2} + y^{2} }[/tex]
So here Similarly,
Modulus of 3 + 4i = [tex]\sqrt{3^{2} + 4^{2} }[/tex] = [tex]\sqrt{9 + 16 }[/tex] = [tex]\sqrt{25 }[/tex] = 5
Modulus of -2 - i = [tex]\sqrt{(-2)^{2} + (-1)^{2} }[/tex] = [tex]\sqrt{4 + 1 }[/tex] = [tex]\sqrt{5 }[/tex]
Modulus of 7 + 0i = [tex]\sqrt{7^{2} + 0^{2} }[/tex] = [tex]\sqrt{49 }[/tex] = 7
Modulus of 0 + 4i = [tex]\sqrt{0^{2} + 4^{2} }[/tex] = [tex]\sqrt{16 }[/tex] = 4
