Question

Explain why the product of an integer multiplied by itself cannot be negative.

Answer 1

An integer multiplied by itself is the square of that number.

Each number when squared is positive.

The only number when squaring is negative is √ ( - 1 ) = i

Answer 2

when two numbers of like sign are multiplied, the result is positive.

Answer 3

If you have a positive, positive 6 for example and you multiply it by positive six, that would be a positive.

If you have a negative, negative 14 for example and you multiply it by negative 14, you would also get a positive.

(+) ⋅ (+) = (+)

(-) ⋅ (-) = (-)