Question

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 the same. Find how many more plants he needs for this.

Answer 1

Hint: In this question, we are given that the gardener has 1000 plants. In order to have the number of rows and number of columns equal, the number should be a perfect square.

Complete step-by-step answer:
Now, total number of plants gardener have = 1000
1000 is not a perfect square
We know that 1000 lies between
${31^2} < 1000 < {32^2}$
Perfect square just after 1000 = ${32^2}$
=1024
$\therefore $Additional number of plants required are = 1024 – 1000
=24 plants
Hence, the number of additional plants required are 24.

Note: A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3. ... Square numbers are non-negative.