Question

How many counting numbers less than 500 are square numbers?

Answer 1

We have two methods to do this

One is that we can start writing the squares of numbers and once we reach a number whose square is greater than 500 , we stop on one number less,

But this may take time ,

instead

What we can do is that

We know that 2^2 = 4

So simply 20^2 = 400

and 25^2 = 625

Now it means our answer lies somewhere in between 20 and 25 , Let's check the square of 23

23^2 = 529

and 22^2 = 484

So that's it

we get our answer

1 to 22

It means 22 counting numbers have less than 500 as there squares

Answer 2

23 counting numbers less than 500 are square numbers