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Dayo Ogundipe edited begin_itemize_item_textbf_sqrt__.tex
over 8 years ago
Commit id: 999efd2b50616d5bbc67f00ee4e6df808681dc54
deletions | additions
diff --git a/begin_itemize_item_textbf_sqrt__.tex b/begin_itemize_item_textbf_sqrt__.tex
index 7a1fc56..969bab4 100644
--- a/begin_itemize_item_textbf_sqrt__.tex
+++ b/begin_itemize_item_textbf_sqrt__.tex
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\\ $\therefore n^*\sqrt{2}$ is an integer.
\textbf{$n^*
\[n^*=n(\sqrt{2}-1) \]
\[\frac{n^*}{\sqrt{2}-1} = n \]
$\sqrt{2}-1$ is a number greater than zero.
\\ $\therefore n^*
\item \textbf{Obtain a contradiction by taking n to be the smallest positive integer for which (2) is true, and so conclude that $\sqrt{2}$ is not a rational number.}
\\Smallest positive integer $n> 0$ is when n = 1. Then $1\sqrt{2}$ = $\sqrt{2}$