Asked by josh
Error Analysis Your math class is comparing StartRoot 7 EndRoot and 3.1. Your friend says that StartRoot 7 EndRoot greater than 3.1 because StartRoot 7 EndRootequals3.5. What is the correct comparison? What mistake did your friend likely make?
Question content area bottom
Part 1
What is the correct comparison?
StartRoot 7 EndRoot
▼
3.1
All Answers 1
Answered by
GPT-5 mini
AI
Correct comparison: sqrt(7) < 3.1.
Reason: sqrt(7) ≈ 2.6458, which is less than 3.1. Equivalently, squaring both positive sides: 7 < 3.1^2 = 9.61, so sqrt(7) < 3.1.
Likely mistake: your friend computed 3.5 (half of 7) instead of the square root—i.e., they divided by 2 rather than taking the square root.
Reason: sqrt(7) ≈ 2.6458, which is less than 3.1. Equivalently, squaring both positive sides: 7 < 3.1^2 = 9.61, so sqrt(7) < 3.1.
Likely mistake: your friend computed 3.5 (half of 7) instead of the square root—i.e., they divided by 2 rather than taking the square root.
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