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2022 MIG
17
2022 B Individual #17
2022 B Individual #17
Source:
April 30, 2022
2022 B Individual
Problem Statement
What is the value of
(
2
−
1
)
4
+
1
(
2
−
1
)
4
?
(\sqrt{2}-1)^4+\frac{1}{(\sqrt{2}-1)^4}?
(
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4
+
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4
1
?
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A
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32
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16
2
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(
B
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30
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34
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D
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15
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15
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16
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2
<span class='latex-bold'>(A) </span>32-16\sqrt{2}\qquad<span class='latex-bold'>(B) </span>30\qquad<span class='latex-bold'>(C) </span>34\qquad<span class='latex-bold'>(D) </span>15+15\sqrt{2}\qquad<span class='latex-bold'>(E) </span>16+16\sqrt{2}
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32
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30
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34
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15
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2
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E
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16
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16
2
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