2021 AMC 10B Problems/Problem 2
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Contents
Problem
What is the value of
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
Video Solution 3
~savannahsolver
Solution 2
Let , then . The term is there due to difference of squares. Simplifying the expression gives us , so ~ shrungpatel
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