SOLUTION: For how many different positive integers n does (sq. root of n) differ from (sq. root of 100) by less than 1

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Question 547702: For how many different positive integers n does (sq. root of n) differ from (sq. root of 100) by less than 1
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
So we have two options:
Option 1 is:
sqrt%28n%29=sqrt%28100%29%2B1
sqrt%28n%29=10%2B1
sqrt%28n%29=11
sqrt%28n%29%5E2=11%5E2
n=121
OR
Option 2 is:
sqrt%28n%29=sqrt%28100%29-1
sqrt%28n%29=10-1
sqrt%28n%29=9
sqrt%28n%29%5E2=9%5E2
n=81

So there are two values that follow the given property.