SOLUTION: evaluate square root of -121 if possible

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Question 87843: evaluate square root of -121 if possible
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28-121%29

sqrt%28-1%2A121%29 Factor out a negative 1

sqrt%28-1%29%2Asqrt%28121%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

Since i=sqrt%28-1%29 replace sqrt%28-1%29 with i

i%2Asqrt%28121%29

i%2A11 take the square root of 121

11i Rearrange

So sqrt%28-121%29=11i