What is the square root of a negative number? I seem to remember its 0 or 1 or some weird answer like that..?

Question

Any help much appreciated, first clear answer gets 10 points!

Thanks!

Okay, STOP!!!!!!!!!

helene_thygesen gave the best answer.

Thanks everyone!!!

Answer 1

The square of a positive number is positive (if a positive number of boys each hove a positive number of apples, the total number of apples is positive). By the same token, the square of zero is zero.

The square of a negative number is positive. To see this, draw the graph of the equation
y=-a (x), where a is some positive number of your choice.
It's a straight line and if it continues the same way into the realm of negative x then you see that -a * (some negative number) becomes positive, in particular (-a) * (-a) is positive.

So everything becomes positive or zero when you square it so a negative number can have no square root.

However, there are so-called imaginary numbers which are square roots of negative numbers. The trick is that they are placed outside the x-axis you use in the coordinate system. Look up "complex numbers" in wikipedia.

Answer 2

The square root of a negative number is imaginary and exists outside the real number system. It is represented with the letter i. The number is definitely not 1 or 0 or any other real number! The square root It is represented in the form a+ bi- a and b are real numbers while i is imaginary (square root of -1). The square root of -1 would therefore be written in the form a+ bi. Visit astrowhiz on Yahoo Groups for more answers on physics math or astronomy!

Answer 3

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Answer 4

There is no square root of a negative number.

Answer 5

If x є R, and x < 0, then x^(1/2) is this:
x^(1/2)=(i)[(-x)^(1/2)] ; where i is the square root of -1.
for example, the square root of -20 will be derived like this:
(-20)^(1/2)=(i){[-(-20)]^(1/2)}
(-20)^(1/2)=(i)[20^(1/2)]
(-20)^(1/2)=(i)(2)[5^(1/2)]
sqrt of -20=2i(sqrt of 5)

hope I helped!

Answer 6

the square root of a negative number is undefined.

it is considered as an imaginary number "i" which helps solving many critical problems.

Answer 7

the sq rt of a negative is an imaginary number i.

ex. what is the sq rt of -4?
the solution wud be i^2 = -1
so the term then becomes sq rt of -4i^2 = which is = sq rt of 4i^2
therefore the sq rt of 2i.

the only technique in getting the sq rt of a negative number is to muliply the negative number by -1 (=i^2)..then just extract the roots..

Answer 8

There is no sq root of negative number. It is a imaginery number which means that it does not exist. If you press it in a caculator, it gives you an error.

Answer 9

it is i times the square root of the absolute value
so root -4=2i

Answer 10

SEE THIS EXAMPLE
-1 x -1 = +1
+1 x +1= +1
SO SQUARE ROOT OF -1 IS UNDEFINED