1. **Problem statement:** There are 125 students arranged in rows such that the number of rows equals the number of students in each row. We need to find how many students are in each row. 2. **Understanding the problem:** If the number of rows is equal to the number of students per row, then the total number of students is the square of that number. Let the number of rows (and students per row) be $x$. 3. **Formulating the equation:** Total students = number of rows $\times$ students per row, so: $$x \times x = x^2 = 125$$ 4. **Solving the equation:** We need to find $x$ such that: $$x^2 = 125$$ Taking the square root of both sides: $$x = \sqrt{125}$$ 5. **Simplifying the square root:** $$\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}$$ 6. **Interpreting the result:** Since $x$ must be an integer (number of students and rows), and $5\sqrt{5}$ is not an integer, the problem implies the number of students is a perfect square. Since 125 is not a perfect square, the exact equal arrangement is not possible. 7. **Conclusion:** The closest perfect square to 125 is 121 ($11^2$) or 144 ($12^2$). If the problem assumes a perfect square, then the number of students per row and rows would be 11 (since $11^2=121$). **Final answer:** There are approximately **11 students in each row** if arranged perfectly in equal rows and columns.