2011 AMC 10A Problems/Problem 16
Contents
Problem 16
Which of the following is equal to ?
Solution 1 (Bash)
We find the answer by squaring, then square rooting the expression.
Solution 2 (FASTER!)
We can change the insides of the square root into a perfect square and then simplify.
Solution 3 (FASTEST)
Square roots remind us of squares. So lets try to make . Doing a little experimentation we find that
Similarly since
we know that
We want to find . Using what we found above we know
This is nothing but
.
~coolmath_2018
Note: This is basically just Solution 2 except you "do a little experimentation"
Video Solution
~savannahsolver
See Also
2011 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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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