SOLUTION: How do you solve this question? it is the cube root or -1/512 √3:(-1/512)

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do you solve this question? it is the cube root or -1/512 √3:(-1/512)      Log On


   



Question 704836: How do you solve this question?
it is the cube root or -1/512
√3:(-1/512)

Answer by Simnepi(216) About Me  (Show Source):
You can put this solution on YOUR website!
Let's ignore the negative sign for the moment!
3sqrt%281%2F152%29 is the same as
3sqrt%281%29%2F%283sqrt%28512%29%29
the cube root of 1 is 1 and the cube root of 512 is 8 so
3sqrt%281%2F152%29=%281%2F8%29
Now about the negative sign... a square root can have two values, positive or negative, but a cube root can only have 1 value!
Because this is a negative number the answer will be negative
So the answer is -%281%2F8%29