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Q: When can the square of a negative number be negative?

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

The square root of a negative number is not real.

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.

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.

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

Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)

Imaginary 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.

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

Negative the square root of 36 is -6, which is a whole number.

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.

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

The square root of a negative value is called an imaginary number.

Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.

The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.

A negative square root is an imaginary number.

A positive number has two square roots, its principal (positive) root and its negative root. This is because a negative number multiplied by a negative number equals a positive number. In this instance, the square roots of 256 are 16 and -16.

Any negative number, and infinity. However, a number (called "i") was created to represent the square roots of negative numbers.

Positive.

The answer is an imaginary number, because of the negative under the square root. The same number multiplied together will always be a positive number. For example, if you square negative one, the answer is positive one, because a negative times a negative is a positive. Because a square root undoes a square, there is no solution to the square root of a negative number. That's why your calculator could not compute this problem. However, there is a way to solve these types of problems by using imaginary numbers. The answer is 13i, where i is the square root of negative one.

The square of a real number is always positive no matter which real number you start with. Therefore, a negative number squared is positive. For example: 2 * 2 = 4, -2 * -2 = 4.

no,a negative number cannot have a square root .it is made only for positive numbers .but,yes,negative numbers can be squared.

Any positive integer has two square roots, one positive number and one negative number. This is because a negative number multiplied by a negative number is equal to a positive number.In this instance, the square roots of 36 are 6, and -6.

The square root of any negative number is not even a 'real' number. It's called 'imaginary', because there's no number you can multiply by itself to get a negative number. The square root of 101 is irrational.

I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.