Question

Evaluate the expression 4+−4√2+−1√ and write the result in the form a+bi.

Answer 1

In the expression, the real number a equals 12 and the real number b equals -16.

How to explain the information?

It should be noted that the expression given is:

= (4 - 2i)²

Therefore, we need to expand the expression. This will be:

= (4 - 2i)(4 - 2i)

= 16 -8i -8i + 4i²

= 16 -16i +4i²

Substitute -1 for i²

= 16 - 16i + 4(-1)

= 16 - 16i - 4

= 12 - 16i

Therefore, the value of the expression is 12 - 16i.

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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.