Find the least number which must be added from each of the following so as to get a perfect square. Also find the square root of the perfect square so obtained. (i) 525 (ii) 1750 (iii) 252 (iv) 1825 (v) 6412

In order to find the least number to be added to the given no., we must find a greater perfect square number, closest to the given number.
i) 525
The closest perfect square number is 576
Difference = 576 - 525 = 51
Hence, 51 must be added to 525 in order to make it a perfect square.
∴ √576 = 24
ii) 1750
The closest perfect square number is 1764
Difference = 1764 - 1750 = 14
Hence, 14 must be added to 1750 in order to make it a perfect square.
∴ √1764 = 42
iii) 252
The closest perfect square number is 256
Difference = 256 - 252 = 4
Hence, 4 must be added to 252 in order to make it a perfect square.
∴ √256 = 16
iv) 1825
The closest perfect square number is 1849
Difference = 1849 - 1825 = 24
Hence, 24 must be added to 1825 in order to make it a perfect square.
∴ √1849 = 43
v) 6412
The closest perfect square number is 6561
Difference = 6561 - 6412 = 149
Hence, 149 must be added to 6412 in order to make it a perfect square.
∴ √6561 = 81