Question

Find the least number which must be subtracted from 7581 to obtain a perfect square. Find this perfect square and its square root.

Answer 1

According to question, 

In order to find the square root of the given number we will use the long division method. 

Hence, 

Using long division method,

Therefore, the number that should be subtracted from the given number to make it a perfect square is 12 

Therefore, 

Perfect square = 7581 – 12

= 7569 

Therefore, its square root is 87