What is (2+sqrt(-32))/4 ?

The solution to (2+sqrt(-32))/4 is 1/2+sqrt(2)i

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simplify (2+sqrt(-32))/4

simplify

\frac{2 + - 32}{4}

\frac{1}{2} + 2 i

Solution steps

\frac{2 + - 32}{4}

- 32 = 42 i

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

Factor out common term

2 : 2 (1 + 22 i)

= \frac{2 ( 1 + 2 2 i )}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{2 ( 1 + 2 2 i )}{2 \cdot 2}

Cancel the common factor:

2

= \frac{1 + 2 2 i}{2}

\frac{1 + 2 2 i}{2} = \frac{1}{2} + 2 i

= \frac{1}{2} + 2 i

12 c - 28 d + 52

7 x^{2}

(2 - 5 i) i

(4 x - y^{3})^{2}

x^{4} + 11 x^{2} - 80