Question

Smallest number that must be added to 6149 to make it perfect square

Answer 1

157 should be added to make 79^2

Answer 2

Solution :-

          78
      ____________
   7 |  6149
      |  49
      |_______
148|  1249
      |  1184
      |_______
      |     65
      |
      
6149 - 65 = 6084 = (78)² < 6149

(79)² = 6241 > 6149

6241 - 6149 = 92

92 will be added to 6149 to make it a perfect square.

6149 + 92 = 6241

⇒ √6241 = 79

So, 92 is the smallest number that must be added to 6149 to make it a perfect square.

Answer.