how do you find the square root of a negative number?

Answer 1

Square root of -1 is defined as an imaginary number in mathematics and the notation for it is " i ". There fore

square_root (-x) = square_root (-1 * x) = square_root (x)*square_root (-1) = square_root (x) * i

Answer 2

The only way to take the square root of a negative number is to expand beyond the real numbers into the larger "complex" number system, which includes the so-called "imaginary numbers."

We define a number i such that i² = -1.

Then, for instance,
the square root of -25
= the square root of (25 * -1)
= the square root of 25 * the square root of -1
= 5 * i, which we just write as 5i.

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Answer 3

You don't. There is no number which when multiplied by itself will give you a negative. You get into imaginary numbers. The square root of -16 is 4i. The square root of -1 is i.

Answer 4

1. the square root of a negative number is NOT a real number
2. you could jump to the complex numbers,
and then for example
sqrt(-3)=3i

Answer 5

1) find the square root of it's ablolute value
2) multiply by i which is defined as the square root of -1

Answer 6

Well the square root of -1 is 'i'

√-1 = i
Therefore:
i² = (√-1)(√-1) = -1
i³ = -i

For Example:
√-4 = √(-1*4) = 2i

Answer 7

You factor out i (square root of negative 1) and reduce the remaining positve square root.
root of -64 = 8i

Answer 8

First realize that i = square root of -1, beyond that factor it out.

Answer 9

"i" is the square root of -1. By convention.

So you find the sq rt of the positive number times i.

sq rt -4 is 2i.

These are called "Imaginary numbers." They are used in engineering calculations.

See: Hyperbolic Functions, i.e., hyperbolic sine.

Answer 10

Factor out the -1 in the radical. Square root of -1 is "i" by convention. Then you have i * SqRt of whatever is left in the radical.