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When proving by contradiction the statement "\(\sqrt{2}\) is irrational", what is the final conclusion of the proof?
"The initial assumption that \(\sqrt{2}\) is rational must be true."
"The final contradiction proves that \(\sqrt{2}\) is rational."
"The argument contains a flaw, so no conclusion can be made."
"The initial assumption that \(\sqrt{2}\) is rational must be false."
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