How do you simplify $sqrt(-64)/-sqrt4$ ?

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Answer 1 · 2015-11-05T14:28:02

$sqrt(-64)/-sqrt4=-4i$

$[1]" "sqrt(-64)/-sqrt4$

Factor out the numbers inside the radical symbols.

$[2]" "=sqrt(-8^2)/-sqrt(2^2)$

Take the perfect squares out of the radical symbols.

$[3]" "=(8sqrt(-1))/-2$

The square root of $-1$ is equivalent to the imaginary unit $i$ .

$[4]" "=(8i)/-2$

Simplify by dividing $8i$ by $-2$ .

$[5]" "=color(blue)(-4i)$

How do you simplify sqrt(-64)/-sqrt4sqrt(-64)/-sqrt4?