What is the square root of minus 1?

Answer 1

it's an imaginary number called i.

Answer 2

1

Answer 3

Think for yourself: what is the definition of a square root? A square is a positive number, so you will need to find a number x say, that when multiplied by itself will produce -1. Do you think this is possible? The answer is no. The square root of minus 1 does not exist! In fact, the square root of any negative number does not exist. Complex analysis was built on the assumption that i^2 = -1 and special properties of trigonometric series.

Answer 4

I think it is an imaginary unit
Represented by 'i' in complex numbers.

By definition, the imaginary unit i is one solution of the quadratic equation


or equivalently

.
Since there is no real number that squares to any negative real number, we imagine such a number and assign to it the symbol i.

Real number operations can be extended to imaginary and complex numbers by treating i as an unknown quantity while manipulating an expression, and then using the definition to replace occurrences of i 2 with −1. Higher integral powers of i can also be replaced with −i , 1, i, or −1.

Square root of the imaginary unit
One might assume that a further set of imaginary numbers need to be invented to account for the square root of i. However this is not necessary as it may be expressed as a complex number:

Answer 5

square root of minus 1 is called " i " (This is an axiom* an accepted mathematical fact . It can't be proved. root of -1 is defined as i)

It all started with the solution to the quadratic equation x^2 + 1 = 0


and square root of minus 4 = 2i

square root of minus 9 =3i

square root of minus 16 = 4i

because we can write -16 as product of -1 and 16 ie (-1)*(16) and root of 16 is 4 and root of -1 is i so the answer (i)*(4) = 4i

*check the spelling of axiom it might be wrong.

Answer 6

Its i beacause their is no such thing as negatives square roots.when you have a negative square root its called an imagonary number so you but an i with that number. In this case the square root of 1 is 1 but since its the square root of negative one its 1i which is the same thing as i.

Answer 7

In a branch of maths, complex maths, a number has been defined such that it's square is -1. This number is called "i" or "j".

i^2 = -1

or (-i )^2 = -1

The "i" axis is drawn perpendicular to the normal number line through 0. thus 0 = 0i

The complex numbers then represent a point on this "complex plane"... and are written like 3+i4 etc.

There is a whole load of applications for complex maths including in ac current calculations.

Answer 8

the square root of minus 1 is i (pronounced as ioata).it is an imaginary number.

Answer 9

It's an imaginary number, "i". Since no number times itself ever results in a negative number, there can be no answers to a square root of a negative number. However, sometimes it still must be done, so humans invented i, or the square root of negative one.

Answer 10

the square root of minus one is an imaginary number. It is known simply as i

Answer 11

As far as ordinary, everyday numbers go, the square root of minus one does not exist. However, mathematicians find it useful to invent a completely new kind of number to fulfil that role. They decided to assume that such a root really did exist, and wrote 'i' to represent it. ('i' was chosen because it stands for "imaginary").