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Which of the following is not a square number?
  • a)
    72
  • b)
    81
  • c)
    64
  • d)
    100
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is not a square number?a)72b)81c)64d)100Correct...
81 is a square number because 9×9=81
64 is a square number because 8×8=64
100 is a square number because 10 × 10 = 100
72 is not a square number, as it doesn't result from multiplying any whole number by itself.
So, the correct answer is A. 72.
Free Test
Community Answer
Which of the following is not a square number?a)72b)81c)64d)100Correct...
Understanding Square Numbers
Square numbers are the product of an integer multiplied by itself. For instance, the square of 3 is 3 x 3 = 9, making 9 a square number.
Identifying Square Numbers
To determine whether a number is a square number, we can check if it can be expressed as n x n, where n is a whole number.
Options Analysis
Let’s analyze each option:
  • 72:
    - The square root of 72 is approximately 8.49.
    - This is not a whole number, so 72 is not a square number.
  • 81:
    - The square root of 81 is 9.
    - This is a whole number (9 x 9 = 81), confirming it is a square number.
  • 64:
    - The square root of 64 is 8.
    - This is a whole number (8 x 8 = 64), confirming it is a square number.
  • 100:
    - The square root of 100 is 10.
    - This is a whole number (10 x 10 = 100), confirming it is a square number.

Conclusion
Based on the analysis, option A (72) is not a square number because its square root is not a whole number. The other options (81, 64, and 100) are indeed square numbers.
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