By just examining the units digits, can you tell which of the following cannot be whole squares
(i) 1026
(ii) 1028
(iii) 1024
(iv) 1022
(v) 1023
(vi) 1027

To do:

We have to find whether the given numbers cannot be a whole square.

Solution:

We know that,

A perfect square cannot end with the digits 2, 3, 7, or 8.

Therefore,

(i) By examining 1026, we can say that 1026 may be a perfect square.

(ii) By examining the 1028 , we can say that 1028 cannot be a perfect square.

(iii) By examining the 1024, we can say that 1024 may be a perfect square. 

(iv)  By examining the 1022 , we can say that 1022  cannot be a perfect square.

(v)  By examining the 1023 , we can say that 1023  cannot be a perfect square.

(vi)  By examining the 1027 , we can say that 1027 cannot be a perfect square.

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Updated on: 10-Oct-2022

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