Question

Multiply 6+2i and it’s conjugate. Simplify.

Help me please ASAP

Answer 1

Answer:

40

Step-by-step explanation:

(6 + 2i)(6 – 2i) = 36 – 4i²

= 36 + 4 = 40

Answer 2

(C) 40.

Conjugate:

• In mathematics, a pair of binomials with identical phrases that part opposite arithmetic operators in the midst of these similar terms are referred to as conjugates.
• For instance, the conjugate of $p+q$ is $p-q$.
• By switching the sign in the middle of the two terms—from plus to minus or vice versa—you may find the conjugate of a binomial.
• Given that 1 is regarded as the real component of a complex number or as a single term, the conjugate of 1 is 1.
• Change of sign is therefore not relevant in this case.

Solution -

$6+2i\\(6+2i)(6+2i)=36-4i^{2} \\36+4+40\\=40$

`Therefore, the correct option is (C) 40.

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