2+3i/(7-i)(4+2i)=a+ib then find a
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Step-by-step explanation:
(7−i)(4+2i)
2+3i
To make the denominator real, we multiply & divide by the complex conjugates of the factors in denominator.
∴
(7−i)(4+2i)
2+3i
×
(7+i)
(7+i)
×
(4−2i)
(4−2i)
=
(7
2
+1)(4
2
+2
2
)
(2+3i)×(7+i)×(4−2i)
=
50×20
(14+23i−3)(4−2i)
=
1000
(11+23i)(4−2i)
=
1000
90+70i
=A+iB
∴A=
1000
90
;B=
1000
70
∴A+B=
1000
160
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