Simplify Simplify: $\sqrt{63}$
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Answer

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Step 1
I'll solve this step-by-step using the specified LaTeX formatting guidelines:

Step 2
: Factor the number under the square root

• $$63 = 3^{2} \times 7
• First, find the prime factorization of 63

Final Answer

Key Insights: - Not all square roots can be simplified completely - Look for perfect square factors inside the radical - Separate perfect square factors from non-perfect square factors - The final form leaves any non-perfect square factor under the radical