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.

Options

A. `25`
B. `24`
C. `26`
D. `21`

Explanation

To solve the problem step by step, we need to determine how many additional plants the gardener needs to arrange 1000 plants in equal rows and columns, which means we need to find the next perfect square greater than 1000.

### Step 1: Identify the requirement
The gardener wants to arrange the plants in such a way that the number of rows equals the number of columns. This means he needs to have a perfect square number of plants.

### Step 2: Find the nearest perfect square greater than 1000
We need to find the smallest integer \( n \) such that \( n^2 \) is greater than 1000.

### Step 3: Calculate the square root of 1000
To find \( n \), we can calculate the square root of 1000:
\[ \sqrt{1000} \approx 31.62 \]
Since \( n \) must be a whole number, we round up to the next whole number, which is 32.

### Step 4: Calculate the perfect square
Now, we calculate \( 32^2 \):
\[ 32^2 = 1024 \]

### Step 5: Determine how many more plants are needed
Now, we need to find out how many more plants the gardener needs to reach this perfect square:
\[ \text{Additional plants needed} = 1024 - 1000 = 24 \]

### Conclusion
The gardener needs to add **24 more plants** to have a total of 1024 plants, which can be arranged in 32 rows and 32 columns.