What is (-12+sqrt(-18))/(60) ?

The solution to (-12+sqrt(-18))/(60) is -1/5+1/(10sqrt(2))i

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simplify (-12+sqrt(-18))/(60)

simplify

\frac{- 12 + - 18}{60}

- \frac{1}{5} + \frac{1}{10 2} i

Solution steps

\frac{- 12 + - 18}{60}

- 18 = 2 \cdot 3 i

= \frac{- 12 + 2 \cdot 3 i}{60}

Factor out common term

3 : 3 (- 4 + 2 i)

= \frac{3 ( - 4 + 2 i )}{60}

Factor the number:

60 = 3 \cdot 20

= \frac{3 ( - 4 + 2 i )}{3 \cdot 20}

Cancel the common factor:

3

= \frac{- 4 + 2 i}{20}

\frac{- 4 + 2 i}{20} = - \frac{1}{5} + \frac{1}{2 \cdot 10} i

= - \frac{1}{5} + \frac{1}{2 \cdot 10} i

= - \frac{1}{5} + \frac{1}{10 2} i

lo g_{2} (\frac{1}{4})

49

2 4^{2} + b^{2} = 2 5^{2}

(x - 3) (x + 5) (2 x + 5) < 0

x - 20 = 5 (7 x - 4)

What is (-12+sqrt(-18))/(60) ?
The solution to (-12+sqrt(-18))/(60) is -1/5+1/(10sqrt(2))i