Question

find least number which must be subtracted from each of following so as to get a perfect square number.also,find the square root of perfect square so obtained. ​4931

Answer 1

Answer:

31

Step-by-step explanation:

Find the least number which must be subtracted from 4931 to make it a perfect square?

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You know that 49 is a perfect square as 7*7 = 49.

Hence 70*70 = 4900 is also a perfect square. Try the next number 71*71 = 5041 which is also a perfect square. Now you can be sure that the given number (4931) is not a perfect square.

Now check how much does the given number deviate from these two closest perfect squares. If it deviates lesser from the larger one, subtract a negative number otherwise a positive number, to get to your answer.

(5041–4931 = 110) > (4931–4900 = 31).

Therefore 31 is your answer!