Find the least number which must be subtracted from 8105 to make it a perfect square. *

To find the number that must be subtracted from 8105 to make it a perfect square, we need to determine the nearest perfect square less than 8105.

The largest perfect square less than 8105 is 90^2 = 8100.

To get the least number that must be subtracted, we subtract the perfect square from 8105:

8105 - 8100 = 5.

So the least number that must be subtracted from 8105 to make it a perfect square is 5.

To find the least number that must be subtracted from 8105 to make it a perfect square, we can start by finding the closest perfect square to 8105.

The square root of 8105 is approximately 90.04. So the closest perfect square less than 8105 is 81^2 = 6561.

To make 6561 into 8105, we need to add the difference: 8105 - 6561 = 1544.

Therefore, the least number that must be subtracted from 8105 to make it a perfect square is 1544.

Solution

√8105 = 90.02...

so 90^2 or 8100 would be the previous perfect square,
So what must you do to 8105 to get to it ?