QQuestionCollege Placement Test
QuestionCollege Placement Test
Simplify
Simplify: $\sqrt{63}$
Attachments
11 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Factor the number under the square root
• $$63 = 3^{2} \times 7
• First, find the prime factorization of 63
Step 3:: Identify perfect square factors
• $$\sqrt{63} = \sqrt{3^{2} \times 7}
• = \sqrt{3^{2}} \times \sqrt{7}
Step 4:: Simplify perfect square roots
• $$= 3 \times \sqrt{7}
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
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students