What is (6+sqrt(-24))/4 ?

The solution to (6+sqrt(-24))/4 is 3/2+(sqrt(3))/(sqrt(2))i

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simplify (6+sqrt(-24))/4

simplify

\frac{6 + - 24}{4}

\frac{3}{2} + \frac{3}{2} i

Solution steps

\frac{6 + - 24}{4}

- 24 = 26 i

= \frac{6 + 2 6 i}{4}

Factor out common term

2 : 2 (3 + 6 i)

= \frac{2 ( 3 + 6 i )}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{2 ( 3 + 6 i )}{2 \cdot 2}

Cancel the common factor:

2

= \frac{3 + 6 i}{2}

\frac{3 + 6 i}{2} = \frac{3}{2} + \frac{3}{2} i

= \frac{3}{2} + \frac{3}{2} i

- 3.005 - 4.7 + (- 2)

1.92

\frac{5}{7} \div 4

(- 2 + 4 i)^{3}

1184

What is (6+sqrt(-24))/4 ?
The solution to (6+sqrt(-24))/4 is 3/2+(sqrt(3))/(sqrt(2))i