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MAA AMC
AMC 12/AHSME
1970 AMC 12/AHSME
18
Compute the following
Compute the following
Source: 1970 AHSME Problem 18
March 24, 2014
AMC
Problem Statement
3
+
2
2
−
3
−
2
2
\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}
3
+
2
2
−
3
−
2
2
is equal to
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(
A
)
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2
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(
B
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3
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C
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4
2
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(
D
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6
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(
E
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2
2
<span class='latex-bold'>(A) </span>2\qquad<span class='latex-bold'>(B) </span>2\sqrt{3}\qquad<span class='latex-bold'>(C) </span>4\sqrt{2}\qquad<span class='latex-bold'>(D) </span>\sqrt{6}\qquad <span class='latex-bold'>(E) </span>2\sqrt{2}
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2
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<
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3
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C
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4
2
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D
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<
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6
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(
E
)
<
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2
2
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