Question

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.

Answer 1

#1 is false , all we need is one counterexample

Assume the statement is true.

| 64 | = 64
√64 = 8

64≠ 8

Answer 2

i get it! thanks reiny :D