2021 AMC 10B Problems/Problem 2: Difference between revisions
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Revision as of 23:36, 11 February 2021
Problem
What is the value of ![\[\sqrt{(3-2\sqrt{3})^2}+\sqrt{(3+2\sqrt{3})^2}?\]](http://latex.artofproblemsolving.com/6/c/1/6c10ec9f88ac0dc6c038e3f5b7062a60ea2444f0.png)
Solution
Note that the square root of a squared number is the absolute value of the number because the square root function always gives a positive number. We know that 
is actually negative, thus the absolute value is not but 
.
So the first term equals 
and the second term is 
.
Summed up you get 
~bjc and abhinavg0627
Video Solution
https://youtu.be/HHVdPTLQsLc ~Math Python
Video Solution by OmegaLearn
| 2021 AMC 10B (Problems • Answer Key • Resources) | ||
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Followed by Problem 3 | |
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