Simplify -√-9??

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Answer 1 · 2018-04-18T01:50:55

$- 3 i$ $-3i$

$- \sqrt{- 9}$ $-sqrt(-9)$ $= - i \sqrt{9}$ $= - i sqrt9$
$- i \sqrt{9}$ $- i sqrt9$ = $- 3 i$ $-3i$

Answer 2 · 2018-04-18T01:55:47

$- 3 i$ $-3i$

Everytime you have a negative sign in the root, that means the solution is imaginary.

As you can see, the number inside the square root is $- 9$ $-9$ , so the solution is imaginary.

$i$ $i$ , or imaginary, equals to $\sqrt{- 1}$ $sqrt(-1)$ , so we can take that out of the root:
$- \sqrt{9} \cdot \sqrt{- 1}$ $-sqrt(9)*sqrt(-1)$

$- 3 \cdot i$ $-3*i$

So the simplification of $- \sqrt{- 9}$ $-sqrt(-9)$ is:
$- 3 i$ $-3i$

Hope this helps!