SOLUTION: How will I solve (z+2)¯⅔ = 3

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Question 373820: How will I solve
(z+2)¯⅔ = 3
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The equation becomes
1%2F%28z%2B2%29%5E%282%2F3%29+=+3, or
1%2F3+=+%28z%2B2%29%5E%282%2F3%29, or1%2F27+=+%28z%2B2%29%5E2
z%2B2+=+1%2F3sqrt%283%29 or z%2B2+=+-1%2F3sqrt%283%29 by applying the square-root principle. Therefore
z=+-2+%2B+1%2F3sqrt%283%29 orz+=+-2+-1%2F3sqrt%283%29