Difference between revisions of "2021 AMC 10B Problems/Problem 2"

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This article was made early. Please ignore it until 2021 AMC 10B Problems are released.
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What is the value of <cmath>\sqrt{(3-2\sqrt{2})^2}+\sqrt{(3+2\sqrt{2})^2}</cmath>?
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<math>\textbf{(A)} ~0 \qquad\textbf{(B)} ~4\sqrt{3}-6 \qquad\textbf{(C)} ~6 \qquad\textbf{(D)} ~4\sqrt{3} \qquad\textbf{(E)} ~4\sqrt{3}+6</math>

Revision as of 17:08, 11 February 2021

What is the value of \[\sqrt{(3-2\sqrt{2})^2}+\sqrt{(3+2\sqrt{2})^2}\]?

$\textbf{(A)} ~0 \qquad\textbf{(B)} ~4\sqrt{3}-6 \qquad\textbf{(C)} ~6 \qquad\textbf{(D)} ~4\sqrt{3} \qquad\textbf{(E)} ~4\sqrt{3}+6$

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