What is 1/2 sqrt(-16) ?

The solution to 1/2 sqrt(-16) is 2i

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simplify 1/2 sqrt(-16)

simplify

\frac{1}{2} - 16

2 i

Solution steps

\frac{1}{2} - 16

Apply radical rule:

- a = a - 1

- 16 = 16 - 1

= \frac{1}{2} 16 - 1

Apply imaginary number rule:

- 1 = i

= \frac{1}{2} 16 i

16 = 4

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{2} i

Divide the numbers:

\frac{4}{2} = 2

= 2 i

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