Answer
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Step 1:I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the expression
The problem asks us to simplify $$7 \times \sqrt{2}
Step 3:: Recognize that this is already in its simplest form
- Multiplying 7 and $$\sqrt{2}$$ directly would not result in a simpler form
- The number 7 cannot be simplified further
Step 4:: Rewrite the expression
7 \times \sqrt{2} = 7\sqrt{2}
Final Answer
Key Insights: - When multiplying a rational number by an irrational number like \sqrt{2}, the result remains in the form of coefficient × irrational number - 7\sqrt{2} is the most simplified form of the original expression
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