2017 AMC 8 Problem 3
Attempt Problem 3 of the 2017 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2017 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
What is the value of the expression
Answer: C
Small hint:
Start with the innermost square root.
Big hint:
After simplifying , the middle radical becomes easier.
Video solution:
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Written solution:
This expression can be reduced as follows:
Thus, C is the correct answer.
Problem 3 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
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- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
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