Difference between revisions of "2003 AMC 10A Problems/Problem 9"
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===Solution 3 (Lame??)=== | ===Solution 3 (Lame??)=== | ||
− | WLOG, plug in some random square number like <math> 9 </math> or <math> 4 </math>, and the output you get after simplifying the expression will always be the square root of the number, so the answer is just \boxed{(A) \sqrt{x}} | + | WLOG, plug in some random square number like <math> 9 </math> or <math> 4 </math>, and the output you get after simplifying the expression will always be the square root of the number, so the answer is just <math> \boxed{(A) \sqrt{x}}</math>. |
+ | |||
+ | ~Darth_Cadet | ||
== See Also == | == See Also == |
Revision as of 19:11, 1 March 2023
Problem
Simplify .
Solution 1
.
Therefore:
Solution 2
We know that We plug this into and get . Again, we substitute and get . We substitute one more time and get .
Solution 3 (Lame??)
WLOG, plug in some random square number like or , and the output you get after simplifying the expression will always be the square root of the number, so the answer is just .
~Darth_Cadet
See Also
2003 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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