Question 1164447
.


In this concrete case,  you can.


In this case,  until you restrict yourself by real numbers,  you can.


In more complicated cases, &nbsp;the cubic root from a number is a &nbsp;<U>complex number</U>, &nbsp;and even not one complex number,

but THREE, &nbsp;instead.


So, &nbsp;in this complex case, &nbsp;after taking the cubic root, &nbsp;you may have &nbsp;3 &nbsp;values of the cubic root on the left side 

and &nbsp;3 &nbsp;cubic root values on the right side --- and how then you will decide who is equal to whom ?



It is the story . . . 



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After reading the post by tutor @MathTherapy.


<pre>
    When you take the CUBE ROOT, you DO NOT NEED to write +-.


    Until you work with real numbers, keep the sign of the resulting real number (cube root) 
    SAME as the number UNDER the cube root sign.
</pre>

The post by @MathTherapy is a mistake.