Question

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

Answer 1

15

Explanation:

Take the square root of 2010:
`√(2010) =44.833...`

Round this value up:
`45`

Square the number:
`45^(2) =2025`

2025 is the closest number to 2010 that is a perfect square.

Difference:
`2025-2010=15`