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.​

Respuesta :

Answer:

Gardener will need 4 more plants.

Step-by-step 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:

[tex]n*n=n^2[/tex]

He actually has 780 plants, thus it should occur:

[tex]n^2=780[/tex]

Taking the square root:

n=27.9

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

n=28

But [tex]28^2=784[/tex], 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 [tex]n^2=841[/tex] and Gardener would need 841-780=61 more plants, but the question asked for the minimum number of plants.