Having a bit trouble with this. Can some one please help? Thanks

2 − − 4 ​ − 3 + − 16 ​ = 2 − i 4 ​ − 3 + i 16 ​ = 2 − 2 i − 3 + 4 i = − 1 + 2 i

Answered by superkoopasirf | 2024-06-10

The square root of (-4) = square root of (-1) x (4) = 2i
The square root of (-16) = square root of (-1) x (16) = 4i
So now you have the sum of (2 - 2i) and (-3 + 4i).
The real part of the sum is (2 - 3) = -1
The imaginary part of the sum is ( -2i + 4i ) = +2i
The whole sum is -1 + 2i .

Answered by AL2006 | 2024-06-10

The expression 2 − − 4 ​ − 3 + − 16 ​ simplifies to − 1 + 2 i by using the imaginary unit i for the square roots of the negative numbers. To perform the calculation, substitute − 4 ​ = 2 i and − 16 ​ = 4 i into the expression. Combining like terms results in − 1 + 2 i .
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Answered by superkoopasirf | 2024-12-26