Question

if z = (√3+I)³ ( 3i+4)²/(8+6i)² find the value of |z|​

Answer 1

Step-by-step explanation:

Uisng the identity ∣a+ib∣=

a

2

+b

2

Since

∣

∣

∣

∣

∣

z

3

z

1

z

2

∣

∣

∣

∣

∣

=

∣z

3

∣

∣z

1

∣∣z

2

∣

Therefore

∣z∣=

∣

∣

∣

∣

∣

(8+6i)

2

(

3

+i)

3

(3i+4)

2

∣

∣

∣

∣

∣

=

∣(8+6i)

2

∣

∣(

3

+i)

3

∣∣(3i+4)

2

∣

=

∣8+6i∣

2

∣

3

+i∣

3

∣3i+4∣

2

=

10

2

2

3

⋅5

2

=2