These are 500 children in a school For a P T drill they have to stand in such - Maths - Squares and Square Roots

Question

These are 500 children in a school For a P T drill they have to
stand in such a manner that the number of rows is equal to number
of columns How many children would be left out in this
arrangement?

Gopal Mohanty · Accepted Answer

It is given that there are 500 children in the school They have
to stand for a P T drill such that the number of rows is equal to
the number of columns
The number of children who will be left out in this arrangement
has to be calculated That is, the number which should be subtracted
from 500 to make it a perfect square has to be calculated
The square root of 500 can be calculated by long division method
as follows

22

2

42

100
84

16

The remainder is 16
It shows that the square of 22 is less than 500 by 16 Therefore,
if we subtract 16 from 500, we will obtain a perfect square
Required perfect square = 500 − 16 = 484
Thus, the number of children who will be left out is 16

These are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?