What is (4+sqrt(-8))/2 ?

The solution to (4+sqrt(-8))/2 is 2+sqrt(2)i

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simplify (4+sqrt(-8))/2

simplify

\frac{4 + - 8}{2}

2 + 2 i

Solution steps

\frac{4 + - 8}{2}

- 8 = 22 i

= \frac{4 + 2 2 i}{2}

Factor out common term

2 : 2 (2 + 2 i)

= \frac{2 ( 2 + 2 i )}{2}

Cancel the common factor:

2

= 2 + 2 i

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