What is expand ,4((1/2)+i((sqrt(3))/2)) ?

The solution to expand ,4((1/2)+i((sqrt(3))/2)) is 2+2sqrt(3)i

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expand ,4((1/2)+i((sqrt(3))/2))

expand

4 ((\frac{1}{2}) + i (\frac{3}{2}))

2 + 23 i

Solution steps

4 ((\frac{1}{2}) + i (\frac{3}{2}))

Simplify

(\frac{1}{2}) + i (\frac{3}{2}) : \frac{1}{2} + i \frac{3}{2}

= 4 (\frac{1}{2} + i \frac{3}{2})

Apply the distributive law:

a (b + c) = ab + a c

4 (\frac{1}{2} + i \frac{3}{2}) = 4 \cdot \frac{1}{2} + 4 i \frac{3}{2}

= 4 \cdot \frac{1}{2} + 4 i \frac{3}{2}

Simplify

4 \cdot \frac{1}{2} + 4 i \frac{3}{2} : 2 + 23 i

= 2 + 23 i

\frac{1}{4} (1.2 - 1) + \frac{1}{2}

- 5 (- 4 - 2)

\frac{12 ab}{a ^{2} b ^{2}}

(2, - 4) y (6, 10)

What is expand ,4((1/2)+i((sqrt(3))/2)) ?
The solution to expand ,4((1/2)+i((sqrt(3))/2)) is 2+2sqrt(3)i