What is the least number that must be added to 1300 so as to get a per...
Explanation:
Finding the perfect square closest to 1300:
To find the perfect square closest to 1300, we can take the square root of 1300, which is approximately 36.06. Therefore, the perfect square closest to 1300 is 36^2, which is 1296.
Calculating the difference:
To find the least number that must be added to 1300 to get a perfect square, we subtract 1300 from the next perfect square, which is 1296.
1296 - 1300 = 4
Finding the square root of the difference:
Taking the square root of 4 gives us 2. Therefore, the least number that must be added to 1300 to get a perfect square is 2.
Verifying the options:
a) 36 - Incorrect
b) 39 - Incorrect
c) 49 - Incorrect
d) 69 - Correct
Therefore, the correct answer is option 'D' (69).