What is 1/6 (-12-sqrt(-288)) ?

The solution to 1/6 (-12-sqrt(-288)) is -2-2sqrt(2)i

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simplify 1/6 (-12-sqrt(-288))

simplify

\frac{1}{6} (- 12 - - 288)

- 2 - 22 i

Solution steps

\frac{1}{6} (- 12 - - 288)

- 288 = 122 i

= \frac{1}{6} (- 12 - 122 i)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( - 12 - 12 2 i )}{6}

Apply rule:

1 \cdot a = a

1 \cdot (- 12 - 122 i) = (- 12 - 122 i)

= \frac{- 12 - 12 2 i}{6}

Factor out common term

- 12 : - 12 (1 + 2 i)

= \frac{- 12 ( 1 + 2 i )}{6}

Divide the numbers:

\frac{12}{6} = 2

= - 2 (1 + 2 i)

Expand

- 2 (1 + 2 i) : - 2 - 22 i

= - 2 - 22 i

4 a + 5 a^{2} + 2 a^{2} + a^{2}

- 2 + 5 (4 + 3 r)

\frac{3 x ^{2}}{x + 1} - 1

(x + 6)^{5}

9 x^{3} y^{2} + 24 x^{4} y^{3}

What is 1/6 (-12-sqrt(-288)) ?
The solution to 1/6 (-12-sqrt(-288)) is -2-2sqrt(2)i