Question

A gardener has $1000$ plants. He wants to plant these in such a way that the number of rows and the number of columns remains same. Find the minimum number of plants he needs more for this.

Answer 1

As he wants to plant in the garden in such a way that the number of rows and number of columns are same. So he needs a number of plants which is a perfect square.

We have two perfect square numbers nearest to $1000$ are $1024=(32{)}^2$ and $961=(31{)}^2$.

In the problem, he has to add the minimum number of plants so that the number of rows and number of columns remains the same.

So, the minimum number of plants he needs more $=1024-1000=24$.

Hence, the gardener need $24$ more plants.