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Actually, it is. It just depends within what set you are doing your calculation, that is, what do you consider an "acceptable solution".

The question of the square root means, which number, when squared, gives a specific number. Within the real numbers, the square of a positive number is positive, the square of a negative number is also positive. Therefore, there are no real numbers whose square is negative.

Within the complex numbers, the square root of -1, for example, is i (the "imaginary unit") - that is, i2 = -1. Similarly, the square root of -4 is 2i, the square root of -9 is 3i, the square root of -2 is (square root of 2 times i), etc.

In some areas, complex numbers are acceptable as solutions, in other areas, they are not. In the same vein, negative numbers are acceptable as solutions to certain problems, but not for certain other problems.

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โˆ™ 2010-06-10 17:05:43
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Q: Explain why it is not possible to take a square root of a negative number?
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Is it possible to find the square root of a negative number explain why or why not?

This is not possible, because any number squared would be positive, not negative.


Is it possible for a to be a negative number in the equation a squared equal b explain why or why not?

Of course it is. 'a' can be any positive or negative number, and 'b' is its square.That's no problem.What is difficult is for 'b' to be a negative number in the same equation.No real number for 'a' can produce a negative 'b'.


Can the square of an integer be a negative number explain?

No, any 2 negative numbers multiplied together equal a positive number


Why is it impossible to square a negative number?

you can square a negative number but you can not square root a negative number


Is it possible to find the square root of a negative number in the real number system?

No. There is no real number which multiplied by itself forms a negative number.A negative times a negative is a positive, and only a positive times a negative is a negative.However, in calculus there is an "imaginary value" (called i ) which represents the square root of -1.Square roots of larger negative numbers are represented by the square of the absolute value times i .


What is the Square root of -18?

it is impossible to have a square root for a negative number. so your answer would be "not possible".


Why is it there are 2 roots in a square root?

There are two possible answers because if you square a negative number, you will get a positive answer.


Is it possible that square pyramid have all face of square explain?

no it is not possible


How do you do a square root of a negative number that is not a perfect square?

The square root of a negative number is not real.


Explain why the square root of 64 has a positive and a negative value?

That simply means that there is both a positive and a negative number which, when squared, gives you 64.


Is it possible for a standard deviation to be negative?

no it is not possible because you have to take the square of error that is (x-X)2. the square of any number is always positive----------Improved answer:It is not possible to have a negative standard deviation because:SD (standard deviation) is equal to the square of V (variance).


Why is it impossible to get a negative answer when you square any number?

V kno that- x- is +. Now when u sqare a negative no it means occouring 2 times and cancel out each other. For example- -2 x -2=4 ============================ (a second answer.) Every real number is either negative, positive or zero. When you square a number, you multiply it by itself, so if you square a negative number, you are multiplying a negative by a negative which gives a positive. If you square a positive, you multiply a positive by a positive and get a positive. If you square 0 , get 0. Therefore, in no case is the answer negative. ( It is harder to explain why a negative times a negative is positive.)


Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .


What is an example of an imaginary number?

An imaginary number is a number that cannot exist. An example of an imaginary number would be: the square root of negative nine, or any negative number. When I try to think of any two of the same numbers that would multiply together to be negative nine, all I can think of is 3 or -3. when I square both of those numbers, I get the number 9, not -9. When I multiply two negatives together, I get a positive number, therefore there is no possible way to get the square root of -9, or any negative number. They are used to explain extra-dimensional theories. (such as cheese, flippantly). 3i


Explain why the roots of a quadratic equation are imaginary if the value of the discriminant is less than 0?

The square of any real number is non-negative. So no real number can have a negative square. Consequently, a negative number cannot have a real square root. If the discriminant is less than zero, the quadratic equation requires the square root of that negative value, which cannot be real and so must be imaginary.


Is the square root of -25 irrational or complex?

you cant get the square root of a negative number. nothing times itself would equal a negative number. if you have √-25 then its not possible. If you have -√25 then you take the square root of 25 and make it negative, so then it would be -5


Can you square an integer and get a negative number?

No. The square of a positive number is positive; the square of a negative number is also positive; and the square of zero is zero. If you want to square a number and get a negative result, you need complex numbers. For example, the square of 2i is -4.


What is value of square of negative iota?

The square of negative iota will be the same as the square of positive iota (i.e. -1) because when a negative number is multiplied by a negative number, the answer is positive.


Is the square root of negative 11 a real number?

No. In general, the square root of a negative number is an imaginary number, which is not a real number.


What is the square root of negative 49?

A square root of a negative number is not possible because there aren't two numbers that are the same that can be a negative number. Though, you can simplify it in terms of i (imaginary number), you just change it into √49 X √-1 The square root of 49 is 7 The square root of -1 is i, So it becomes 7 X i Thus making the answer 7i


Why is it impossible to find the square root of a negative?

Because for a number to be a square number it must have a number which when multiplied by it self=that number. For example: 36 is a square number because 6x6=36 16 is a square number because 4x4=16 A negative number such as -16 is not a Square Number because -4x-4=16 not -16 because a negative times a negative is a positive. -4x4=-16 but these numbers aren't the same therefore -16 isn't a square number. This is why negative numbers cant be Square Numbers


Why is square root of the number -9 not a real number?

For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.


Is the square of a negative number a positive or negative number?

It is positive.


What is the square root of a negative number written in the form bi where b is a real number and you is the square root of the negative?

Imaginary number


What is a negative square root defined as?

If you're referring to the square root of a negative number, it's an imaginary number.