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No. Square root is not a proper function in the sense that, over the domain of negative and positive numbers, it is a one-to-many mapping. Strictly speaking the domain for square root is all non-negative or all non-positive numbers (or a subset of them).

Consider the following mapping:

Your mother is your parent, your father is your parent. But your mother is not your father.

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Q: If -6 is equal to the square root of 36 and that is equal to 6 then doesn't -6 equal 6?
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