Divide 32i54i Write your answer in standard formSolution 32i

Divide (3-2i)/(5+4i) Write your answer in standard form.

Solution

( 3-2i)/ (5 +4i)

Rationalise the denominator first: ( 3-2i)*( 5-4i) /( 5+4i)(5 -4i)

{ 15 -12i -10i - 8 } /( 25 +16)

{7 -22i}/41

7/41 - i* 22/41

Standard form a +i*b

where a= 7/41 and b = -22/41