SOLUTION: Simplify: 6+ sqrt (-8) there is no sq rt of 8?

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Question 779116: Simplify:
6+ sqrt (-8)
there is no sq rt of 8?


Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
There is no real number square root of -8, because any number times itself is a positive number.


There is an imaginary number, i, such that i+=+sqrt%28-1%29


sqrt%28-8%29+=+sqrt%28-1%2A2%2A4%29+=+2i%2Asqrt%282%29


6%2B+sqrt+%28-8%29+=+6%2B2i%2Asqrt%282%29+=+2%283%2Bi%2Asqrt%282%29%29