Can You Find The Cube Root Of A Negative Number If So Is It Positive Or Negative

 Olivia Luz    

 
Cubic Root Of Negative Numbers Mathematics Stack Exchange

If you think about it any negative multiplied by another negative is a positive so you can t square a negative number.

The real cube root of any negative real number is negative. Basically exists if k isn t a multiple of 2 0. So the square root of a negative number is undefined. So 1331 can be grouped into triples so it is a perfect cube of 11.

And we are done. Hence root 3 125 5 the reason that we can t have the square or quartic root of a negative number is that two negatives always cancel to give a plus. Think of it like this. But if you multiply this by another negative number i e.

Your answer is correct d. A negative number cubed is always equal to a negative number so the cube root of a negative number will also always be negative. Use this calculator to find the cube root of positive or negative numbers. We know that m 3 is the cube of m for any positive integer m.

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11 3 1331 2 show that 3888 is a perfect cube. Yes you can find a real root to the cube root of any negative real number. Evaluate root 3 125 we can write 125 as the product of 3 negative 5 s. Negative 8 times negative 8 times negative 8.

You multiply that times negative 8 you get negative 512. What is the number whose cube is 3888. Multiply negative 8 times itself three times. 55 25 5x 5 25 but 5x 5x 5x 125 the cube root of 125 is 5.

So the square root of a negative number is undefined. Resolving 3888 into prime factors we get 3888 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3. Cube roots is a specialized form of our common radicals calculator. Can you find the cube root of a negative number.

You cube a negative number you get another negative number so negative numbers can also be cube rooted. And so our answer to this the cube root of negative 512 is negative 8. If x positive a will be positive if x is negative a will be negative. Well let s just do it.

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If so it is positive or negative. The reason that we can t have the square or quartic root of a negative number is that two negatives always cancel to give a plus. This happens because multiplying 2 negatives together gives you a positive then you multiply that positive number by a negative and get the final result as a negative number. The square of any number is positive.

Yes you can find the cube root of a negative and it will be a negative number. Given a number x the cube root of x is a number a such that a3 x. Negative 8 times negative 8 is positive 64.

Cubic Root Of Negative Numbers Mathematics Stack Exchange

Cubic Root Of Negative Numbers Mathematics Stack Exchange

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