Perform the indicated operation. Express your answer in simplified form. Assume all variables represent positive real numbers. $$ (\sqrt{5 y+3})^{2}=\square $$ $$ \square $$

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To simplify the expression $$(\sqrt{5y + 3})^{2}$$, follow these steps:

1. **Understand the Operation**:
   - Squaring a square root cancels out the square root, provided the expression inside the square root is non-negative. Since $$y$$ represents a positive real number, $$5y + 3$$ is also positive.

2. **Simplify the Expression**:
   $$
   (\sqrt{5y + 3})^{2} = 5y + 3
   $$

So, the simplified form is:

$$
5y + 3
$$
The simplified form is $$5y + 3$$.

Perform the indicated operation. Express your answer in simplified form. Assume all variables represent positive real numbers. \( (\sqrt{5 y+3})^{2}=\square \) \( \square \)

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