Question

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

Answer 1

Answer:

24 plants

Step-by-step explanation:

Let the number of rows = x

Then, the number of columns = x

Total plants needed = x^2

Plants he has = 1000

x can be 32

Since, 32^2 = 1024 and it is the nearest square number to 1000

Thus, he needs 1024-1000 = 24 more plants.

Answer 2

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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.

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1000 is not a perfect square.

$\implies \tt{ {31}^{2} < 1000 < {32}^{2} }$

Number to be added:-

$\implies \tt{1024 - 1000} = 24$

$\implies \tt{ 1000 + 24} =10 24$

Hence, Gardener requires 24 more plants.