
Which of the following numbers are perfect square?
A) 121
B) 1057
C) 23453
D) 7928
E) 222222
Answer
564.6k+ views
Hint:
This question is based on the concept of the square and the perfect square.
The number which multiplies with itself and gives the result in the form of a whole number then that number is called a perfect square.
Complete step by step solution:
A) 121 is a perfect square. Because if we multiply 11 with itself then we get 121.
B) 1057 is not a perfect square because if we multiply any number with itself, we did not get 1057.
C) 23453 is not a perfect square because if we multiply any number with itself, we did not get 23453.
D) 7928 is not a perfect square because if we multiply any number with itself, we did not get 7928.
E) 222222 is not a perfect square because if we multiply any number with itself, we did not get 222222.
Therefore, only 121 has a perfect square.
Note:
If the unit place digit of any number has one of the digits from 2, 3, 7 and 8 then, the perfect square of that number does not exist. because perfect squares are the numbers which are products of a number by itself.
This question is based on the concept of the square and the perfect square.
The number which multiplies with itself and gives the result in the form of a whole number then that number is called a perfect square.
Complete step by step solution:
A) 121 is a perfect square. Because if we multiply 11 with itself then we get 121.
B) 1057 is not a perfect square because if we multiply any number with itself, we did not get 1057.
C) 23453 is not a perfect square because if we multiply any number with itself, we did not get 23453.
D) 7928 is not a perfect square because if we multiply any number with itself, we did not get 7928.
E) 222222 is not a perfect square because if we multiply any number with itself, we did not get 222222.
Therefore, only 121 has a perfect square.
Note:
If the unit place digit of any number has one of the digits from 2, 3, 7 and 8 then, the perfect square of that number does not exist. because perfect squares are the numbers which are products of a number by itself.
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