Math, asked by devikadh2004, 7 months ago

What is the product of (3 - 2i) . (6 - 8i)

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Answers

Answered by kusumjangir783
0

Answer:

2

Step-by-step explanation:

(3-2) (6-8)

1×2

= 2

complete

question

Answered by Flaunt
15

\huge\tt{\bold{\underline{\underline{Question᎓}}}}

What is the product of (3 - 2i) . (6 - 8i)

\huge\tt{\bold{\underline{\underline{Answer᎓}}}}

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Information about iota :

\bold{\boxed{i =   \sqrt{ - 1} }}

\bold{\boxed{ {i}^{2}  = 1}}

 \bold{\boxed{{i}^{3}  =i \times   {i}^{2}  =  >  - i}}

 \bold{\boxed{{i}^{4}  = 1}}

Now come to the question:

 =  > (3 - 2i)(6 - 8i)

 =  > 3(6 - 8i) - 2i(6 - 8i)

 =  > 18 - 24i - 12i + 16 {i}^{2}

 =  > 18 -  \sqrt{ - 24}  -  \sqrt{ - 12}  + 16

 =  > 18 - 2 \sqrt{ - 6}  - 2 \sqrt{ - 3}  + 16

 =  > 18 - 2( \sqrt{ - 6}  +  \sqrt{ - 3} ) + 16

 =  > 34 - 2( \sqrt{ - 6}  +  \sqrt{ - 3} )

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