Question

Find the Least number must be subtracted by 5607 so as to get a perfect square

Answer 1

√5607= 74.8799038 and √5320=73 then 5607-5320= 278ans

Answer 2

Solution

$let \: us \: try \: to \: find \: \sqrt{5607} by \: long \: division \: method$

We get the reminder 131.it shows that 74² is less than 5607 by 131.

This means if we separate the reminder from the number we get a perfect square.

Therefore, the required perfect square is 5607 -131 =5476

and

$\sqrt{5476 = 74}$