Question

Find the least number which must be added to 5483 so that the resulting number is a perfect square.

Answer 1

Clearly, 5483 is greater than 74²

	74
9	5483 49
144	583 576
	7

 

 

 

 

 

 

∴ On adding the required number to 5483, we shall be getting 75² i.e. 5625. 
Hence, the required number = 5625 - 5483
= 142