math-calculus

which of following statements is false

1. The absolute value of a real number is the principal square root of the square of the number.

2. The absolute value of a real number is the distance of the number from zero on a number line.

3. The absolute value of a real number can never be negative.

I thought it be statement 2, and 3 but it also number 1, and i not real understand what that statement means.

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  1. #1 is false , all we need is one counterexample

    Assume the statement is true.

    | 64 | = 64
    √64 = 8

    64≠ 8

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  2. i get it! thanks reiny :D

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