Can You Find The Cube Root Of A Negative Number If So Is It Positive Or Negative
Camila Farah
We know that m 3 is the cube of m for any positive integer m.
Yes you can find a real root to the cube root of any negative real number. But if you multiply this by another negative number i e. Use this calculator to find the cube root of positive or negative numbers. Well let s just do it.
Basically exists if k isn t a multiple of 2 0. The square of any number is positive. 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. Negative 8 times negative 8 is positive 64.
So the square root of a negative number is undefined. And so our answer to this the cube root of negative 512 is negative 8. Multiply negative 8 times itself three times. Negative 8 times negative 8 times negative 8.
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And we are done. If you think about it any negative multiplied by another negative is a positive so you can t square a negative number. Yes you can find the cube root of a negative and it will be a negative number. 55 25 5x 5 25 but 5x 5x 5x 125 the cube root of 125 is 5.
So 1331 can be grouped into triples so it is a perfect cube of 11. Your answer is correct d. The cube root of a negative number is undefined. The real cube root of any negative real number is negative.
If so it is positive or negative. Cube roots is a specialized form of our common radicals calculator. Think of it like this. 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.
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11 3 1331 2 show that 3888 is a perfect cube. Given a number x the cube root of x is a number a such that a3 x. A negative number cubed is always equal to a negative number so the cube root of a negative number will also always be negative.
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