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  • Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.

Q.5 Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.

(i) 525

(ii) 1750

(iii) 252

(iv) 1825

(v) 6412

Answers (1)

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(i) 525:-

It is clearly visible that if we add 4 to the given number, the remainder will become zero. So obtained number is 529 and its square root is 23.

(ii) 1750:-    

It is clearly visible that if we add 14 to the given number, the remainder will become zero. So the obtained number is 1764 and its square root is 42.

(iii) 252:-  

It is clearly visible that if we add 4 to the given number, the remainder will become zero. So the obtained number is 256 and its square root is 16.

(iv) 1825:-  

It is clearly visible that if we add 24 to the given number, the remainder will become zero. So the obtained number is 1849 and its square root is 43.

(v)  6412:-   

It is clearly visible that if we add 149 to the given number, the remainder will become zero. So the obtained number is 6561 and its square root is 81.

Posted by

Devendra Khairwa

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