Solution - Basic complex operations
(5-8i)/(8+2i)=0.0147*(24-74i)
Other Ways to Solve
Basic complex operationsStep by Step Solution
Complex Division
Determine the conjugate of the denominator :
The conjugate of ( 8 + 2i) is ( 8 - 2i)
Multiply the numerator and denominator by the conjugate:
( 5 - 8i)•( 8 - 2i) = ( 24 - 74i)
( 8 + 2i)•( 8 - 2i) = ( 68 + 0i) = 68
Note:
(1) Multiplying both the numerator and the denominator by the same number does not change the value of the fraction.
(2) The new denominator is a real number as its imaginary part is zero.
( 5 - 8i)/( 8 + 2i) =
0.0147 • ( 24 - 74i)
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