SOLUTION: What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?
Algebra.Com
Question 1209035: What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
We want to be an integer.
5^4 = 625, which is less than 675.
6^4 = 1296, which is greater than 675.
675+n = 1296
n = 1296-675 = 621
ANSWER: 621
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