To clarify your question: are you asking whether a specific expression is equal to $3 + \sqrt{\frac{2}{3}}$, or are you asking if $3 + \sqrt{\frac{2}{3}}$ is the correct expression for something?

Please share more details about the context or the original problem. I'll be happy to confirm or help solve the equation.

Would you like me to walk through the steps of simplifying $3 + \sqrt{\frac{2}{3}}$, or would you like a comparison between this and another expression?

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Follow-up questions:

1. What was the original expression or problem you are referring to?
2. Is this expression part of an equation or something you're simplifying?
3. Are you dealing with algebraic manipulation, solving for a variable, or a geometric problem?
4. Are there any specific steps or properties you'd like help with, such as handling square roots?
5. Is the expression meant to be compared to something else?

Tip: When working with square roots, always check if the fraction inside the square root can be simplified to avoid any calculation errors.