Question

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.​

Answer 1

Answer:

24

Step-by-step explanation:

let the number of rows=x

number of plants will also x

the number of plant he had plant=v

A.T.Q=

1000+v=x×x

1000+v=x square

the minimum number need to added in 1000 and make perfect square

square root of 1000=31.62

we will only take l.h.s of decimal means

31 square is lesser than 1000 so the number of perfect square we have made 32's square;so 32 square=1024

Hence 24 should added to make perfect square

and

the gardener need to plant 24 more plant so that the no.of rows and plants are equal.

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.