Question

Find the least number to be subtracted from the following numbers to get a perfect square: 109876

Answer 1

R.E.F image

First we find the square root of $109876$ by

division method.

$63\times 3=189$

$64\times 4=256$

$662\times 2=1324$

We get the remainder $315$

since $(331{)}^2<109876<(332{)}^2$

thus we subtract $109876-(331{)}^2$

$=109876-109561$

$315$ this is the remainder

hence for getting perfect square we have to subtract $315$,

$\Rightarrow 109876-315=(331{)}^2$

the least number to be subtract is $315$