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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1984 AMC 12/AHSME
28
28
Part of
1984 AMC 12/AHSME
Problems
(1)
square root sum
Source:
10/17/2005
The number of distinct pairs of integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that 0 < x < y \text{and} \sqrt{1984} = \sqrt{x} + \sqrt{y} is
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A
)
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0
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B
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1
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C
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2
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(
D
)
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3
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(
E
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7
<span class='latex-bold'>(A) </span>0\qquad <span class='latex-bold'>(B) </span>1\qquad <span class='latex-bold'>(C) </span>2\qquad <span class='latex-bold'>(D) </span>3\qquad <span class='latex-bold'>(E) </span>7
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)
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0
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(
B
)
<
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1
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>
(
C
)
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2
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>
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D
)
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3
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>
(
E
)
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>
7
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