# 4.Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.(i) 402(ii) 1989(iii) 3250(iv) 825(v) 4000

(i)    402 :-     It can be seen that 2 is remainder. So we will subtract 2 from 402.

The required number is 400 and its square root is 20. (ii) 1989 :-       It can be seen that 53 is remainder here. So we will subtract 53 from 1989 in order to make it a perfect square.

The required number is 1936 and its square root is 44. (iii) 3250 :-    It can be seen that 1 is remainder. So we will subtract 1 from 3250.

The required number is 3249 and its square root is 57. (iv)  825 :-     It can be seen that 41 is remainder. So we will subtract 41 from 825 to make it a perfect square number.

The required number is 784 and its square root is 28. (v) 4000 :-     It can be seen that 31 is remainder here. So we will subtract 31 from 4000.

The required number is 3969 and its square root is 63. ## Related Chapters

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