If I square a real number, can I ever end up with -1?

Mathematics
Tutor: None Selected Time limit: 1 Day

If I square a real number, can I ever end up with -1?

Sep 7th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

It is impossible. Let me go through a few examples so you understand what I mean.

Well,

1^2= 1 x 1= 1

2^2= 2 x 2=4

3^2=3 x 3= 9

Notice, a positive multiplied by a positive is positive

Lets try some negative numbers

(-1)^2= -1 x -1=1

(-2)^2=-2 x -2= 4

(-3)^2= -3 x -3= 9

Notice, a negative multiplied by a negative is positive.

Therefore, you would never be able to get a negative number when it is squared.

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Sep 7th, 2015

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Sep 7th, 2015
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