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What is the least number to be added to 4523 to make it a perfect square?
  • a)
    101
  • b)
    105
  • c)
    110
  • d)
    238
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What is the least number to be added to 4523 to make it a perfect squa...
Calculation of the Perfect Square:

To find the least number that needs to be added to 4523 to make it a perfect square, we can start by determining the nearest perfect square to 4523.

The square root of 4523 is approximately 67.26. Therefore, the nearest perfect square is 67^2 (4489).

Finding the Difference:

To determine the difference between the nearest perfect square and 4523, we subtract 4489 from 4523:

4523 - 4489 = 34

Finding the Next Perfect Square:

Since the difference is positive, we need to find the next perfect square after 4523. We add twice the square root of 4523 (i.e., 2 * 67.26 ≈ 134.52) plus one to 4523:

4523 + 134.52 + 1 ≈ 4660.52

The square root of 4660.52 is approximately 68.25. Therefore, the next perfect square is 68^2 (4624).

Calculating the Least Number to be Added:

To find the least number to be added to 4523, we subtract 4523 from 4624:

4624 - 4523 = 101

Therefore, the least number that needs to be added to 4523 to make it a perfect square is 101.

Conclusion:

Based on the calculations, the correct answer is option 'A', which is 101.
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Community Answer
What is the least number to be added to 4523 to make it a perfect squa...
The square of the numbers are
(66)2 = 4356
(67)2 = 4489
(68)2 = 4624
So, the least number to be added = 4624 - 4523 = 101
Hence, the correct answer is "101".
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