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

Q.8  A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

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It is given that the number of rows and the number of columns are the same.

Let a number of rows or number of columns be x.

The number of plants required  =  $x^2$

The gardener has 1000 plants.

We need to find a perfect square just greater than 1000.

We know,            $31^2 = 961$          and         $32^2 = 1024$

So the minimum plants needed by gardener = 1024 - 1000 = 24 plants.

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