What is (-3+sqrt(-18))/(24) ?

The solution to (-3+sqrt(-18))/(24) is -1/8+1/(4sqrt(2))i

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simplify (-3+sqrt(-18))/(24)

simplify

\frac{- 3 + - 18}{24}

- \frac{1}{8} + \frac{1}{4 2} i

Solution steps

\frac{- 3 + - 18}{24}

- 18 = 2 \cdot 3 i

= \frac{- 3 + 2 \cdot 3 i}{24}

Factor out common term

3 : 3 (- 1 + 2 i)

= \frac{3 ( - 1 + 2 i )}{24}

Factor the number:

24 = 3 \cdot 8

= \frac{3 ( - 1 + 2 i )}{3 \cdot 8}

Cancel the common factor:

3

= \frac{- 1 + 2 i}{8}

\frac{- 1 + 2 i}{8} = - \frac{1}{8} + \frac{1}{2 \cdot 4} i

= - \frac{1}{8} + \frac{1}{2 \cdot 4} i

= - \frac{1}{8} + \frac{1}{4 2} i

\frac{- 5 + 1}{2}

- 32 \cdot 3

p + p

lo g_{2} (\frac{32000}{32000})

What is (-3+sqrt(-18))/(24) ?
The solution to (-3+sqrt(-18))/(24) is -1/8+1/(4sqrt(2))i