One-third of the square root of which number is 0.001?

Answer

To solve the question "One-third of the square root of which number is 0.001?", we can follow these steps:

### Step-by-Step Solution:

1. **Set Up the Equation**:
We start by letting \( x \) be the number we are looking for. The statement "one-third of the square root of which number" can be expressed mathematically as:
\[ \frac{1}{3} \sqrt{x} = 0.001 \]

2. **Isolate the Square Root**:
To isolate \( \sqrt{x} \), we can multiply both sides of the equation by 3:
\[ \sqrt{x} = 0.001 \times 3 \]
\[ \sqrt{x} = 0.003 \]

3. **Square Both Sides**:
Next, we square both sides to eliminate the square root:
\[ x = (0.003)^2 \]

4. **Calculate the Square**:
Now we calculate \( (0.003)^2 \):
\[ (0.003)^2 = 0.000009 \]

5. **Final Result**:
Therefore, the value of \( x \) is:
\[ x = 0.000009 \]

### Summary:
The number we are looking for is \( 0.000009 \).

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