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The sum of square roots is zero only when all the square roots involved are equal to zero. Since the square root of any non-negative number is non-negative, the only way for their sum to equal zero is if each term in the sum is zero itself. Therefore, if you have (\sqrt{a} + \sqrt{b} + \sqrt{c} = 0), it implies that (a = 0), (b = 0), and (c = 0). In any other case, the sum will be positive.

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3w ago

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