If x is a positive integer and the square root 15-x is an integer, ask if there is a maximum value of the square root 15-x of the formula. If so, find out the value of X at this time If not, please give reasons

To make √ (15-x) meaningful, 15-x ≥ 0,
Because x > 0, we can get: 15-x < 15,
Therefore, if 0 ≤ 15-x < 15, we can get: 0 ≤ 15-x < 15;
It is known that √ (15-x) is an integer,
The maximum value of √ (15-x) is the largest integer 3 less than √ 15,
Solution equation: √ (15-x) = 3,
It can be concluded that x = 6

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