Multiply each complex number by its complex conjugate. a) 3+6i b) 2-5i

Joyce Smith

Joyce Smith

Answered question

2022-01-15

Multiply each complex number by its complex conjugate.
a) 3+6i
b) 25i

Answer & Explanation

Bernard Lacey

Bernard Lacey

Beginner2022-01-16Added 30 answers

Step 1
a) Given complex number is 3+6i. Its complex conjugate is 36i.
Use information from step 1 to multiply the two complex numbers.
(3+6i)(36i)=3(36i)+6i(36i)
=918i+18i62i2
=962(1)
=9+36
=45
Hence, given complex number multiplied by its complex conjugate is equal to 45.
Ella Williams

Ella Williams

Beginner2022-01-17Added 28 answers

Step 1
b) Given complex number is 25i. Its complex conjugate is 2+5i.
Use information from step 1 to multiply the two complex numbers.
(25i)(2+5i)=2(2+5i)5i(2+5i)
=4+10i10i52i2
=452(1)
=4+25
=29
Hence, given complex number multiplied by its complex conjugate is equal to 29.

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