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What is the least number that must be added to 1300 so as to get a perfect square?
  • a)
    36
  • b)
    39
  • c)
    49
  • d)
    69
Correct answer is option 'D'. Can you explain this answer?
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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).
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