Math and Arithmetic

# Why can't you square root a negative number?

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Whenever you multiply two numbers, if they have the same sign, then the answer is positive.

When you multiply a number by itself, both numbers in the multiplication obviously have the same sign,

So there's no number that gives a negative answer when you multiply it by itself.

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## Related Questions you cant have a square root of a negative number that is a math impossibility you cant take the square root of a negative number  its a no solution problem. you cant square root a negative number. it wouldn't be a real answer. you can square a negative number but you can not square root a negative 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.) you cant get the square root of a negative number. nothing times itself would equal a negative number. if you have &radic;-25 then its not possible. If you have -&radic;25 then you take the square root of 25 and make it negative, so then it would be -5 using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i A negative square root is an imaginary number. No. In general, the square root of a negative number is an imaginary number, which is not a real number. 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. The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie &radic;-144 = 12&radic;-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12. i is the symbol for an imaginary number, a complex number with the property i2=-1. The square root of a negative number is the square root times i. For example, the square root of -9 = 3i. The square root of a negative value is called an imaginary number. No it is an Imaginary Number&radic;-16 = 4ii is the square root of negative one - (400^.5) = -(20) = -20 you just do the square root of the number, and attach the negative in front. and if you ever include the negative inside the square root, you'd have to deal with i, which is an imaginary number that signifies the square root of negative 1. 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. No, it is not even a real number. The square root of negative 5 is the square root of 5, times i. 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. -1,0,or 1 the negative square root of four is negative two and the square root of four is two There is no square root of a negative number. It would have to be a half negative, which is impossible. The square root of a negative number cannot be expressed with integers. The square root of a negative number is always imaginary. you cannot square root a negative number

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