Question

Find the least number which must be added to 6203 to obtain a perfect square.

Also, find the square root of the number so obtained.
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Answer 1

79

Explanation:

78

---------

7 | 62 03

49

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148 | 13 03

11 84

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19

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78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

= 79 * 79

= 79.

Therefore 38 should be added to 6203 to obtain a perfect square.