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Question:
find the absolute value of (i-1)(2 i)
Answer:

Given, (i - 1)*(2 + i)

= i * 2 + i * i - 1 * 2 - 1 * i

= 2i - i2 - 2 - i

= i - (-1) - 2

= i + 1 - 2

= i - 1

= i + (-1)

Now, |i - 1| = √{12 + (-1)2 }

                  = √(1 + 1) 

                  = √2

So, the absolute value of (i - 1)*(2 + i) = √2

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