SOLUTION: (-2+sqrt(-100)

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Question 397869: (-2+sqrt(-100)
Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
-2%2Bsqrt%28-100%29
With a negative number inside the square root, this expression represents a complex number. The first thing to do with this is write the square root in terms of "i", which is sqrt%28-1%29. So we factor out -1:
-2%2Bsqrt%28-1%2A100%29
Then we use a property of radicals, root%28a%2C+p%2Aq%29+=+root%28a%2C+p%29%2Aroot%28a%2C+q%29, to write the square root of the product as the product of the square roots of the factors:
-2%2Bsqrt%28-1%29%2Asqrt%28100%29
Not only does the sqrt%28-1%29 simplify to "i", but sqrt%28100%29 also simplifies to 10:
-2 + i*10
or
-2 + 10i