To find the Modulus of a complex number I was given the following expression , |((3+i)(2-i))/((1+i))| and was asked to find its value This is how I proceeded On solving the numerator , the given expression transforms to |(7-i)/(1+i)| Then I took the conjugate of the denominator and finally got the expression (8-8i)/(2) =4|(1−i)| Now according to me it’s modulus should be 4 sqrt(2) however the correct answer is 5 . Could you please correct me where I am mistaken ? And please suggest a method to solve this. Thank you .

Elise Kelley 2022-10-17 Answered
To find the Modulus of a complex number
I was given the following expression ,
| ( 3 + i ) ( 2 i ) ( 1 + i ) |
and was asked to find its value
This is how I proceeded ,
On solving the numerator , the given expression transforms to | 7 i 1 + i | Then I took the conjugate of the denominator and finally got the expression
8 8 i 2
= 4 | ( 1 i ) |
Now according to me it’s modulus should be 4 2 however the correct answer is 5 . Could you please correct me where I am mistaken ? And please suggest a method to solve this. Thank you .
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Answers (2)

Dobricap
Answered 2022-10-18 Author has 14 answers
Because
| ( 3 + i ) ( 2 i ) ( 1 + i ) | = 10 5 2 = 5.
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ebendasqc
Answered 2022-10-19 Author has 3 answers
( 7 i ) ( 1 i ) 8 8 i. So | 6 8 i 2 | = 5
Easier way to evaluate is seperating the absolute value as:
| ( 3 + i ) ( 2 i ) ( 1 + i ) | = | 3 + i | | 2 i | | 1 + i | = 10 5 2 = 5
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