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Which is the greatest 4-digit perfect square?
- a)9999
- b)9990
- c)9800
- d)9801
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which is the greatest 4-digit perfect square?a)9999b)9990c)9800d)9801C...
By division method we find the root of 9999 and we get the remainder 198.So subtracting 198 from 9999 we get 9801 as the greatest 4-digit perfect square.
Most Upvoted Answer
Which is the greatest 4-digit perfect square?a)9999b)9990c)9800d)9801C...
Explanation:
Identifying the Perfect Square:
To find the greatest 4-digit perfect square among the given options, we need to determine which number is a perfect square and falls within the range of 4-digit numbers (from 1000 to 9999).
Calculating the Square Roots:
- The square root of 9999 is approximately 99.995, which means it is not a perfect square.
- The square root of 9990 is approximately 99.949, which is also not a perfect square.
- The square root of 9800 is approximately 98.994, indicating it is not a perfect square.
- The square root of 9801 is exactly 99, making it a perfect square.
Finding the Greatest Perfect Square:
Since 9801 is a perfect square and the largest among the options provided, it is the greatest 4-digit perfect square.
Therefore, the correct answer is option D) 9801.
Identifying the Perfect Square:
To find the greatest 4-digit perfect square among the given options, we need to determine which number is a perfect square and falls within the range of 4-digit numbers (from 1000 to 9999).
Calculating the Square Roots:
- The square root of 9999 is approximately 99.995, which means it is not a perfect square.
- The square root of 9990 is approximately 99.949, which is also not a perfect square.
- The square root of 9800 is approximately 98.994, indicating it is not a perfect square.
- The square root of 9801 is exactly 99, making it a perfect square.
Finding the Greatest Perfect Square:
Since 9801 is a perfect square and the largest among the options provided, it is the greatest 4-digit perfect square.
Therefore, the correct answer is option D) 9801.
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Community Answer
Which is the greatest 4-digit perfect square?a)9999b)9990c)9800d)9801C...
99²=9801
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Which is the greatest 4-digit perfect square?a)9999b)9990c)9800d)9801Correct answer is option 'D'. Can you explain this answer?
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