Question

Find the least number which must be added to each of the following numbers so as to get a perfect square.
(i) 525. (ii) 1750. (iii) 252​

Answer 1

We have to find the least number, which must be added to the given number to get the perfect square.

a) 525

Since , 525 is very close to 529 which is a perfect square;

So, the difference which we will get is 4;

And the square root of the perfect square 529 is 23.

b) 1750

Since , 1750 is very close to 1764 which is a perfect square;

So, the difference which we will get is 14;

And the square root of the perfect square 1764 is 42.

c) 252

Since , 252 is very close to 256 which is a perfect square;

So, the difference which we will get is 4;

And the square root of the perfect square 256 is 16.