Find the smallest positive integer that must be added to 2010 to obtain a perfect square

Answer:
15
Step-by-step explanation:
Take the square root of 2010: [tex]\sqrt{2010} =44.833...[/tex]
Round this value up: [tex]45[/tex]
Square the number: [tex]45^{2} =2025[/tex]
2025 is the closest number to 2010 that is a perfect square.
Difference: [tex]2025-2010=15[/tex]