Evaluate:
` sqrt(3(33)/(289))`

Answer

To evaluate the expression \( \sqrt{\frac{3 \times 33}{289}} \), we will follow these steps:

### Step-by-Step Solution:

1. **Multiply the Numerator**:
First, calculate the product in the numerator:
\[ 3 \times 33 = 99 \]
So, we can rewrite the expression as:
\[ \sqrt{\frac{99}{289}} \]

**Hint**: Remember to multiply the numbers in the numerator first.

2. **Simplify the Fraction**:
Now we have:
\[ \sqrt{\frac{99}{289}} = \frac{\sqrt{99}}{\sqrt{289}} \]

**Hint**: You can separate the square root of a fraction into the square roots of the numerator and denominator.

3. **Calculate the Square Root of the Denominator**:
The square root of \( 289 \) is:
\[ \sqrt{289} = 17 \]

**Hint**: Recall that \( 17 \times 17 = 289 \).

4. **Calculate the Square Root of the Numerator**:
Now, we need to simplify \( \sqrt{99} \). We can factor \( 99 \) into \( 9 \times 11 \):
\[ \sqrt{99} = \sqrt{9 \times 11} = \sqrt{9} \times \sqrt{11} = 3\sqrt{11} \]

**Hint**: Look for perfect squares in the numerator to simplify the square root.

5. **Combine the Results**:
Now we can substitute back into our expression:
\[ \frac{\sqrt{99}}{\sqrt{289}} = \frac{3\sqrt{11}}{17} \]

**Hint**: Always simplify your final answer by combining the results from the numerator and denominator.

### Final Answer:
Thus, the evaluated expression is:
\[ \frac{3\sqrt{11}}{17} \]