How do you multiply $sqrt(-16) / sqrt(2)$ ?

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Answer 1 · 2018-03-25T19:37:59

$=>2sqrt(2)i$

We start with:

$=>sqrt(-16)/sqrt(2)$

We can combine the square root:

$=>sqrt(-16/2)$

Dividing the argument of the root:

$=>sqrt(-8)$

We can find factors to potentially pull out of the square root.

$=>sqrt(2xx4xxi^2)$

Simplifying:

$=>2sqrt(2)i$

How do you multiply sqrt(-16) / sqrt(2) sqrt(-16) / sqrt(2) ?