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i have a general question as I just came across a problem in the online guide that asked for the cube root of a negative number. I thought you couldn't root negative numbers so I said undefined for the answer...which was wrong.
So.....is it that you can never sq. rt neg numbers but you can cube root neg. numbers since a neg. number cubed is also negative. Is that the correct thinking?
thx
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I look at it this way, and it may not be the correct way, but it has worked for me so far. negatives cannot have even roots, but can have odd roots. For instance:
sqrt(-9)=x, -9=x^2. It is undefined because any number to an even power is positive.
cube root(-27)=x, -27=x^3. This is defined as x=-3.
I hope this hels.
Also, on a similar note. Just as an example, what do you guys define sqrt(9) as. I have seen debate as to if the answer is just 3, or -3 and 3. What are your guys thoughts?
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