Sukhiram plants 15376 orange trees in his garden and arranges them, so that there are as many rows as there are orange trees in each row. Find the number of rows.

Options

A. 125
B. 124
C. 128
D. 135

Answer

To solve the problem of how many rows Sukhiram can arrange his 15,376 orange trees, we need to find a number \( x \) such that the number of rows \( x \) is equal to the number of trees in each row, which leads to the equation:

\[ x \times x = 15,376 \]

This can be rewritten as:

\[ x^2 = 15,376 \]

Now, we need to find the square root of 15,376 to determine the value of \( x \).

### Step 1: Calculate the square root of 15,376

To find \( x \), we calculate:

\[ x = \sqrt{15,376} \]

### Step 2: Factorization or estimation

To find the square root, we can either use a calculator or factor the number. However, we can also estimate:

1. We know that \( 100^2 = 10,000 \) and \( 200^2 = 40,000 \).
2. Since \( 15,376 \) is between these two squares, we can narrow it down further.
3. Checking \( 120^2 = 14,400 \) and \( 130^2 = 16,900 \), we see that \( 15,376 \) is between \( 120^2 \) and \( 130^2 \).

### Step 3: Check perfect squares around our estimate

Now we can check perfect squares around 124:

1. Calculate \( 124^2 \):
\[ 124 \times 124 = 15,376 \]

### Conclusion

Since \( 124^2 = 15,376 \), we find that:

\[ x = 124 \]

Thus, the number of rows Sukhiram can arrange is:

**124 rows.**