A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is

1. Break Down the Problem

To find the number of rows, we need to determine a whole number $n$ such that the man can plant $n$ rows of $n$ trees, which means $n^2 = 15376$. Therefore, our task is to find the square root of 15376.

2. Relevant Concepts

The formula we will use in this case is: $n^2 = \text{Total number of trees}$ Taking the square root of both sides gives: $n = \sqrt{15376}$

3. Analysis and Detail

To compute $n$:

1. First, we evaluate $\sqrt{15376}$.
2. We can use a calculator, but also consider prime factorization or estimation if necessary.

Calculating: $15376 \text{ is approximately equal to } 123 \text{ (since } 123^2 = 15129 \text{ and } 124^2 = 15376 \text{)}$

Calculating directly: $\sqrt{15376} = 124$

4. Verify and Summarize

We can verify: $124 \times 124 = 15376$

Thus our calculation is correct, and we conclude that the number of rows is 124.

Final Answer

The number of rows is $124$.