# Find the least number which is to be added to 1579 so as to make it a perfect square.

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by reishumwi

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by reishumwi

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We know that 40 * 40 = 1600. So we need to add 1600 - 1579 = 21 to make it a perfect square.

We have the given number as 1579.. The two digits 79 form one unit. Then the two digits 15 form one pair. 15 is between squares of 3 and 4.

39

=======

3 | 15 79

9

=====

69 6 79

6 21

===========

hence, the square root of 1579 is between 39 and 40.. So we take the square of 40 minus 1579. We get the answer.

We have the given number as 1579.. The two digits 79 form one unit. Then the two digits 15 form one pair. 15 is between squares of 3 and 4.

39

=======

3 | 15 79

9

=====

69 6 79

6 21

===========

hence, the square root of 1579 is between 39 and 40.. So we take the square of 40 minus 1579. We get the answer.