The expression is:

\[
\sqrt{2} - \frac{\sqrt{2}}{3}
\]

To simplify this expression:

1. Find a common denominator. The common denominator for 1 and 3 is 3.
   
   \[
   \sqrt{2} = \frac{3\sqrt{2}}{3}
   \]

2. Now subtract the terms:
   
   \[
   \frac{3\sqrt{2}}{3} - \frac{\sqrt{2}}{3} = \frac{(3\sqrt{2} - \sqrt{2})}{3}
   \]

3. Simplify the numerator:
   
   \[
   3\sqrt{2} - \sqrt{2} = 2\sqrt{2}
   \]

4. The final result is:
   
   \[
   \frac{2\sqrt{2}}{3}
   \]

So, the simplified form of the expression is:

\[
\frac{2\sqrt{2}}{3}
\]

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you simplify expressions with square roots?
2. What is the difference between rational and irrational numbers?
3. Can you explain how to find common denominators in fractions?
4. What is the process to subtract radicals?
5. How does factoring help in simplifying algebraic expressions?

**Tip:** When dealing with radicals, always check if you can simplify the terms first before performing any operations like addition or subtraction.

Learn how to simplify the radical expression Sqrt2 - ((sqrt2)/3) step-by-step by finding a common denominator and subtracting radical terms. This problem explores core concepts such as fraction operations and simplifying square roots, ideal for students in Grades 9-10.

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