Give reason to show that none of the numbers given below is a perfect square:

(i) 5372 (v) 360


(ii) 5963 (vi) 64000


(iii) 8457 (vii) 2500000


(iv) 9468


(i) We know that,

A number which ends with 2 is not a perfect square


Also, the given number 5372 is ending with the digit 2


Therefore,


The given number is not a perfect square


(ii) We know that,


A number which ends with 3 is not a perfect square


Also, the given number 5963 is ending with the digit 3


Therefore,


The given number is not a perfect square


(iii) We know that,


A number which ends with 7 is not a perfect square


Also, the given number 8457 is ending with the digit 7


Therefore,


The given number is not a perfect square


(iv) We know that,


A number which ends with 8 is not a perfect square


Also, the given number 9468 is ending with the digit 8


Therefore,


The given number is not a perfect square


(v) We know that,


Any number which ends with an odd number of zeros is not a perfect square


Also, the given number 360 is ending with the digit 0


Therefore,


The given number is not a perfect square


(vi) We know that,


Any number which ends with an odd number of zeros is not a perfect square


Also, the given number 6400 is ending with the digit 0


Therefore,


The given number is not a perfect square


(vii) We know that,


Any number which ends with an odd number of zeros is not a perfect square


Also, the given number 2500000 is ending with the digit 0


Therefore,


The given number is not a perfect square


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