SOLUTION: The set Q consists of integers q that are perfect cubes and satisfy 3^6≤q^2≤ 3^7. Find the least and greatest members of Q.

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Question 1030742: The set Q consists of integers q that are perfect cubes and satisfy 3^6≤q^2≤ 3^7. Find the least and greatest members of Q.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The perfect cubes are ±1, ±8, ±27, ±64, ±125, ±216, etc...
You want 3%5E6+=+729+%3C=+q%5E2+%3C=+3%5E7+=+2187, and incidentally only the perfect cube ±27 can satisfy this condition.
==> Q = {±27}, hence the least member of Q is -27 and the greatest is 27.