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Every number has two square roots. You can't say the positive one, as making the square root of minus one either positive or negative makes -1 positive.

2006-07-08 08:13:41 · 17 answers · asked by alnitaka 4 in Science & Mathematics Mathematics

17 answers

As long as choose one and stick to it, it really doesn't matter. More precisely, the complex numbers, C, are defined as R[x]/(x^2+1), he polynomial ring on R moded out by the ideal generated by the polynomial x^2 +1. Then i is identified with the image of the polynomial x under the quotient map.

2006-07-08 08:55:22 · answer #1 · answered by mathematician 7 · 7 3

The square root of -1 is really an imaginary number. The symbol for the square root of -1 is an italicized i.

2006-07-08 15:16:27 · answer #2 · answered by Aloofly Goofy 6 · 0 0

i is defined as the square root of -1, but -i is also a square root of -1.

There really is no "the" square root of a number. Like you said there are two. When someone says "the square root," they are referring to the positive. when someone says "the square root of -1," that person is referring to i.

2006-07-08 15:16:15 · answer #3 · answered by Eulercrosser 4 · 0 0

The square root of -1 is the imaginary number i.

2006-07-08 15:18:18 · answer #4 · answered by MsMath 7 · 0 0

no it doesnt because the square of -1 is called an imaginary number

because if you multiplied -1 by-1 it would still be positive one so there cant be a real square root of -1

2006-07-08 15:17:11 · answer #5 · answered by nieder 3 · 0 0

That is simple Algebra II. You should know that the answer to the square root of -1 is not a real number or an imaginary number, or an italicized i

2006-07-08 15:58:04 · answer #6 · answered by John 3 · 0 0

Not all numbers can be explained, but still must be used in order to calculate things.

"i" is the imaginary number used to represent this "square root of -1"

Search wikipedia for imaginary numbers for more info.

2006-07-08 15:20:26 · answer #7 · answered by too_live_forever 3 · 0 0

the square root of -1 is an imaginary number represented by the letter i...i takes the place of that number

2006-07-08 15:16:36 · answer #8 · answered by Anonymous · 0 0

The square root of negative one is defined as the imaginary unit, called 'i'. It is used to form complex numbers and has other mathematical applications.

2006-07-08 15:16:46 · answer #9 · answered by Anonymous · 0 0

the square root of negative one

2006-07-08 15:32:47 · answer #10 · answered by sad but cute 2 · 0 0

you can not get answer for the square root of minus one,
It is impossible unless you use imaginary number (i)

2006-07-08 15:17:03 · answer #11 · answered by Jonnie 1 · 0 0

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