Find the product of the complex number and its conjugate. 2-3i

vakirnarhh

vakirnarhh

Answered question

2021-12-02

Find the product of the complex number and its conjugate.
2-3i

Answer & Explanation

Hiroko Cabezas

Hiroko Cabezas

Beginner2021-12-03Added 18 answers

The complex conjugate of a complex number a+bi is a-bi. The product of a complex number and its conjugate is:
(a+bi)(abi)=a2+abiabi(bi)2=a2+b2
The product of a complex number and its conjugate will be a real number.
The conjugate of the complex number, 2-3i is 2+3i. Multiply the complex number and its conjugate.
(23i)(2+3i)=22+32
=4+9
=13

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