What is (-6-sqrt(-12))/(48) ?

The solution to (-6-sqrt(-12))/(48) is -1/8-1/(8sqrt(3))i

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simplify (-6-sqrt(-12))/(48)

simplify

\frac{- 6 - - 12}{48}

- \frac{1}{8} - \frac{1}{8 3} i

Solution steps

\frac{- 6 - - 12}{48}

- 12 = 23 i

= \frac{- 6 - 2 3 i}{48}

Factor out common term

- 2 : - 2 (3 + 3 i)

= \frac{- 2 ( 3 + 3 i )}{48}

Factor the number:

48 = 2 \cdot 24

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

Cancel the common factor:

2

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

Simplify

\frac{- ( 3 + 3 i )}{24} : - \frac{1}{8} - \frac{1}{3 \cdot 8} i

= - \frac{1}{8} - \frac{1}{3 \cdot 8} i

= - \frac{1}{8} - \frac{1}{8 3} i

(x + 2 y) (3 x - y)

\frac{3 p ^{3}}{2 ( p ) ^{2}}

(5 x - 4) (x + 3)

7 x + 3 x

7 x - 8 x

What is (-6-sqrt(-12))/(48) ?
The solution to (-6-sqrt(-12))/(48) is -1/8-1/(8sqrt(3))i