Question

Find the modulus. 5. 3 + 4i 6. −2 − i 7. 7 8. 4i

Answer 1

Answer:

Modulus of  : 3 + 4i = 5 , -2 -i = $\sqrt{5 }$  , 7 =7 and 4i  = 4

Step-by-step explanation:

Let A = x+iy be a complex number.

Here, modulus of A  = $\sqrt{x^{2} + y^{2} }$

So here Similarly,

Modulus of   3 + 4i = $\sqrt{3^{2} + 4^{2} }$ = $\sqrt{9 + 16 }$ = $\sqrt{25 }$   = 5

Modulus of   -2 - i = $\sqrt{(-2)^{2} + (-1)^{2} }$ = $\sqrt{4 + 1 }$ = $\sqrt{5 }$  

Modulus of  7 + 0i  = $\sqrt{7^{2} + 0^{2} }$ = $\sqrt{49 }$  = 7

Modulus of   0 + 4i = $\sqrt{0^{2} + 4^{2} }$ = $\sqrt{16 }$ =  4