Question

What least number must be subtracted to 6072 to make it perfect square

Answer 1

The least number is 12

Given:

6072

To find:

The least number.

Solution:

In order to make 6072 a perfect square, we need to find the nearest square number to 6072.

To find the nearest square number, take square root of 6072

\therefore \sqrt{6072}=77.9230∴6072=77.9230

So, the nearest square number to 6072 \text { is } 78^{2}=60846072 is 782=6084

Now, to calculate the least number, subtract 6072 from 6084,

So, the lowest number to be added to 6072 is = 6084 – 6072 = 12

Hence, to make 6072 a perfect square, 12 is to be added.

(Hope this helps!!)