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Because if you multiply a negative number three times, the product will be negative.

Q: Why can a negative number have a cube root?

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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 .

yes, you can find a real root to the cube root of any negative real number. There will also be two complex roots which satisfy it, as well.

I am pretty sure that the cube root of negative seven is a surd. I checked on the calculator.......and it showed a negative number.....??I think when it is not a surd...it's supposed to say error, so the number probably means that it is a surd..

Negative 2 (times) cube root of 54 = -7.55953 Negative 2 (plus) cube root of 54 = 1.77976

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Related questions

The cube root of a negative number is negative

The cube root of a negative number is negative.

No, the cube root of -9 is an irrational number.

No.

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 .

yes, you can find a real root to the cube root of any negative real number. There will also be two complex roots which satisfy it, as well.

I am pretty sure that the cube root of negative seven is a surd. I checked on the calculator.......and it showed a negative number.....??I think when it is not a surd...it's supposed to say error, so the number probably means that it is a surd..

If the negative number is "-a", then you can say the cube root is "-(cube root of a)" Because if you cube a negative number, you get a negative number. So if you cube root a negative number, you get a negative number. Ex) cube root of -8 = -2 Because (-2)^3 = -8 But if you want to find the complex cube roots, you can make an equation: "x^3=-a" or "x^3+a=0" We know one of the roots is "-(cube root of a)" so you can factor the equation by (x+(cube root of a)) And then you use the quadratic formula for the quadratic equation you're left with. Ex) x^3=-8 or x^3+8=0 Since -2 is a root, factor it by (x+2) x^3+8=(x+2)(x^2-2x+4) Using the quadratic formula, you get "1+i√3" and "1-i√3" Therefore the three cube roots of -8 is <"-2", "1+i√3", "1-i√3">

Negative 2 (times) cube root of 54 = -7.55953 Negative 2 (plus) cube root of 54 = 1.77976

There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.

Yes as for example the cube root of -27 is -3

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