To solve this, I used guess and check.
I started by finding 60²=3600 and 70²=4900. 70² is too much, so I then did 65²=4,225.
After 65², I did 62²=3,844. I knew that was pretty close, so I did 64. 64²=4,096 and 63²=3,969. So, 64² was it.
4,096-4015=81
So, you would need to add 81 to 4015 in order to receive a perfect square, which is 64²(4,096).
A perfect square is a number that is obtained by multiplying a whole number by itself.
The least number that must be added to transform 4015 in a perfect square is 81, and the square root of that perfect square is 64.
We want to find what we need to add to 4015 to make it a perfect square.
Then what we can do is find a the first perfect square that comes after 4015, we can do it by brute force, this means that we can try with some numbers at random.
We can start with 65*65 = 4,225
Now we can see if there is one smaller (more close to 4015), we can try with 64.
64*64 = 4,096
Let's see with 63.
63*63 = 3,969
So the next perfect square to 4015, is 4096.
Then what we need to add to 4015 to make it the next perfect square is:
4096 - 4015 = 81
We need to add 81.
And the square root of the perfect square will be equal to the number that is being multiplicated by itself:
√4096 = 64.
If you want to learn more, you can read:
https://brainly.com/question/385286
