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Gardener has 780 plants. He wants to plant there in such a way that the number of rows and the numbers of columns remains same. Find the minimum number of plants need more for this.​

1 Answer

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Answer:

Gardener will need 4 more plants.

Explanation:

Gardener has 780 plants and wants to plant them in an array of n rows and n columns.

The number of plants needed to do that is:


n*n=n^2

He actually has 780 plants, thus it should occur:


n^2=780

Taking the square root:

n=27.9

Since n needs to be an integer, we round up n to get

n=28

But
28^2=784, 4 more than the actual number of plants, thus:

Gardener will need 4 more plants.

Note: There are other possible results for n. If we set n=29, then
n^2=841 and Gardener would need 841-780=61 more plants, but the question asked for the minimum number of plants.

User Yuralife
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