The positive square root of a number x is denoted by __________.

Answer

To solve the question, "The positive square root of a number x is denoted by __________," we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept of Square Root**:
- The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because \(3 \times 3 = 9\).

2. **Identifying the Symbol for Square Root**:
- The square root is denoted by the radical symbol (√). This symbol is used to represent the square root of a number.

3. **Applying the Symbol to the Variable x**:
- To denote the positive square root of the variable x, we write it as \( \sqrt{x} \). This indicates that we are taking the square root of x.

4. **Clarifying the Positive Aspect**:
- By convention, when we refer to the square root, we are usually referring to the principal (or positive) square root. Therefore, \( \sqrt{x} \) inherently represents the positive square root of x.

5. **Final Answer**:
- Thus, the positive square root of a number x is denoted by \( \sqrt{x} \).

### Final Answer:
The positive square root of a number x is denoted by \( \sqrt{x} \).

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