Simplify -√-9??

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Answer 1 · 2018-04-18T01:50:55

#-3i#

#-sqrt(-9)# #= - i sqrt9 #
#- i sqrt9 # =#-3i#

Answer 2 · 2018-04-18T01:55:47

#-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#, so the solution is imaginary.

#i#, or imaginary, equals to #sqrt(-1)#, so we can take that out of the root:
#-sqrt(9)*sqrt(-1)#

#-3*i#

So the simplification of #-sqrt(-9)# is:
#-3i#

Hope this helps!