 ## Sign Of The Cube Root Of A Negative Number

Asked By 20 points N/A Posted on -

Today while solving a problem I got stuck while finding out the cube root of -125. What is the sign of a cube root of a negative number? Also, I am also curious whether the number will be a real number or not? SHARE
Answered By 30 points N/A #305566

## Sign Of The Cube Root Of A Negative Number

Although negative numbers cannot have real numbers as their square roots, they can have real cubic roots. An example of this is that the cubic root of -8 is -2. It has been verified that the cubic root of a negative number is always a negative number. It can be visualized from the fact that the product of two negative numbers is positive and thus the product of three same negative numbers will always be negative. Thus while finding out the cubic root of a negative number one just needs to find out the cubic root of the number without the negative sign, and then just add a negative sign before it. Various examples are shown in the picture below.  