Suppose that 10 < sqrt(n) < 11. A possible value for n is
121.
To explain why, let's consider the range of values for n that satisfy the given inequality.
We know that 10 < sqrt(n) < 11. To eliminate the square root, we can square both sides of the inequality:
(10)^2 < (sqrt(n))^2 < (11)^2
100 < n < 121
From this, we can see that n = 121 is a possible value since it satisfies the inequality.