# 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

(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. ## Related Chapters

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