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