What is the least number that can be added to the number 1272 to make it a…

Step-by-Step Solution

To find the least number that must be added to 1272 to make it a perfect square, we need to identify the smallest perfect square greater than 1272.

1. Estimate the square root:

   • Calculate the square root of 1272.

   • sqrt(1272) is approximately 35.66.

2. Find the next integer:

   • Since 35.66 is between 35 and 36, the next perfect square will be the square of 36.

   • 36 squared = 36 * 36 = 1296.

3. Determine the difference:

   • Subtract the given number from this perfect square.

   • 1296 - 1272 = 24.

Therefore, adding 24 to 1272 will result in 1296, which is a perfect square.