Question

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$\huge{\dag}\ {\underline{\boxed{\mathfrak{\pink{question}}}}} \:†$
$find \: \: the \: \: conjugate \: \: of \: \: \frac{(3 - 2i)(2 + 3i)}{1 + 2i)(2 - i)}$


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Answer 1

Step-by-step explanation:

(3−2i)(2+3i)

=

2−i+4i+2

6+9i−4i+6

=

4+3i

12+5i

=

16−9

(12+5i)(4−3i)

=

5

48−36i+20i+15

=

5

63−16i

The conjugate is

5

63+16i

Answer 2

$❥{\huge{\underline{\small{\mathbb{\pink{YOUR \ CORRECT \ ANSWER \ }}}}}}$

°°° Solution °°°

Verified by Toppr

(1+2i)(2−i)(3−2i)(2+3i)

=2−i+4i+26+9i−4i+6

=4+3i12+5i

=16−9(12+5i)(4−3i)

=548−36i+20i+15

=563−16i

The conjugate is 563+16i