Final answer:
To find the least positive integer to subtract, we need to find the closest perfect square less than 1417. Subtracting 1417 - 1369 = 48 gives a perfect square, 1369.
Step-by-step explanation:
To find the least positive integer which should be subtracted from 1417 so that the resultant integer is a perfect square, we need to find the closest perfect square that is less than 1417. Since 1417 is between the squares of 37 and 38, we can subtract 1417 - 1369 = 48 to get a perfect square.
The resultant integer is 1369, which is 37 squared. Therefore, the least positive integer that should be subtracted from 1417 is 48.
To find the least positive integer to subtract from 1417 for a perfect square, consider the nearest perfect square less than 1417, which is 1369. The difference between 1417 and 1369 is 48.
Thus, the least positive integer to be subtracted is 48. The resultant integer after the subtraction is 1369, a perfect square. Its square root is 37.
This process ensures the adjustment of the initial number to the nearest perfect square, showcasing mathematical precision and providing a clear solution to meet the criteria of obtaining a perfect square from the subtraction of a positive integer from 1417