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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.
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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What is the least number to be added to 4523 to make it a perfect square?a)101b)105c)110d)238Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What is the least number to be added to 4523 to make it a perfect square?a)101b)105c)110d)238Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number to be added to 4523 to make it a perfect square?a)101b)105c)110d)238Correct answer is option 'A'. Can you explain this answer?.
What is the least number to be added to 4523 to make it a perfect square?a)101b)105c)110d)238Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What is the least number to be added to 4523 to make it a perfect square?a)101b)105c)110d)238Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number to be added to 4523 to make it a perfect square?a)101b)105c)110d)238Correct answer is option 'A'. Can you explain this answer?.
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