1.

Give reason to show that none of the numbers given below is a perfect square:  (i) 5372 (ii) 5963 (iii) 8457 (iv) 9468(v) 360(vi) 64000(vii) 2500000

Answer»

(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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