Is there any number in exsistance, that when you square it, the result is a negative integer?

Question

I know it may not be possible, but there is a way...

Answer 1

Gosh, this is going back a ways....but I'm going to say the answer is ...yes.

As I recall, "imaginary" numbers can be squared to produce a negative result. Expressed as "i", "i" squared is -1.

Don't know how useful this is in the real world, but mathematicians are a pretty brainy bunch, so there must be some use for it.

Answer 2

The number that is squared to give a negative number is an imaginary number. The square root of -1 is denoted by i and all imaginary numbers are set out as, for example, 5i which is the square root of -25.

For a basic course on it see
http://mathforum.org/dr.math/faq/faq.imag.num.html

Answer 3

No.
Neg x Neg = Pos
Pos x Pos = Pos

The only way to produce a negative is to multiply a negative and a positive, which is impossible when squaring a number.

Hope this helps!
:-)

Answer 4

When you multiply any number by itself, negative or positive, the product will be positive. That's what squaring is.

Answer 5

The answer is no... the other guy saying yes is negatizing the number after you square it which isnt an answer to the question.

Answer 6

check out imaginary numbers. you can take the square root of a negative number (basically the inverse of squaring) but the answer is "imaginary".

http://en.wikipedia.org/wiki/Imaginary_numbers

Answer 7

Stephen Hawking discusses this in his book "A Brief History of Time."

Answer 8

Yes, all imaginary numbers, written as "i" in math.
Their definition is: i*i = -1, or i = square root(-1).

For example, (5i)*(5i)=-25.

Answer 9

-5

Answer 10

it depends on how you write it...

if you do this then no....
(-5)^2 === nope...

-(5)^2 ===yes...