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Which of the following is not a perfect square ?
- a)81
- b)18
- c)100
- d)121
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following is not a perfect square ?a)81b)18c)100 ...
Squares of all integers are known as perfect squares. All perfect squares end in 1, 4, 5, 6, 9 or 00 (i.e. Even number of zeros). Therefore, a number that ends in 2, 3, 7 or 8 is not a perfect square.
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Which of the following is not a perfect square ?a)81b)18c)100 ...
Not a Perfect Square
To determine which of the given options is not a perfect square, let's first understand what a perfect square is.
A perfect square is a number that can be expressed as the square of an integer. In other words, it is the product of an integer multiplied by itself.
For example, 9 is a perfect square because it can be expressed as 3 * 3, which is the square of the integer 3. Similarly, 16 is a perfect square because it can be expressed as 4 * 4.
Now let's analyze each option to identify the one that is not a perfect square:
a) 81:
81 is a perfect square because it can be expressed as 9 * 9, which is the square of the integer 9.
b) 18:
To determine if 18 is a perfect square, we need to find an integer that, when multiplied by itself, equals 18. However, there is no integer that satisfies this condition. Therefore, 18 is not a perfect square.
c) 100:
100 is a perfect square because it can be expressed as 10 * 10, which is the square of the integer 10.
d) 121:
121 is a perfect square because it can be expressed as 11 * 11, which is the square of the integer 11.
Therefore, the correct answer is option 'B' (18) as it is the only option that is not a perfect square.
To determine which of the given options is not a perfect square, let's first understand what a perfect square is.
A perfect square is a number that can be expressed as the square of an integer. In other words, it is the product of an integer multiplied by itself.
For example, 9 is a perfect square because it can be expressed as 3 * 3, which is the square of the integer 3. Similarly, 16 is a perfect square because it can be expressed as 4 * 4.
Now let's analyze each option to identify the one that is not a perfect square:
a) 81:
81 is a perfect square because it can be expressed as 9 * 9, which is the square of the integer 9.
b) 18:
To determine if 18 is a perfect square, we need to find an integer that, when multiplied by itself, equals 18. However, there is no integer that satisfies this condition. Therefore, 18 is not a perfect square.
c) 100:
100 is a perfect square because it can be expressed as 10 * 10, which is the square of the integer 10.
d) 121:
121 is a perfect square because it can be expressed as 11 * 11, which is the square of the integer 11.
Therefore, the correct answer is option 'B' (18) as it is the only option that is not a perfect square.
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