Question

Find the least number that must be subtracted from 18265 so as to get a perfect square

Answer 1

40 should be subtracted from 18265 to get perfect square I. e 18225

Answer 2

The least number is 40

Given:

18265

To find:

The least number

Solution:

In order to make 18265 a perfect square, we need to find the nearest square number to 18265  

To find the nearest square number, take square root of 18265

$\therefore \sqrt{18265}=135.1480$

So, the nearest square number to 18265 is $135^{2}$

We know that $135^{2}=18225$

Now, to calculate the least number, subtract 18225 from 18265  

Thus, perfect square number nearest to 18265=18265 -18225 = 40

So, the number to be subtracted from 18265 = 40