this is for holding javascript data
Dayo Ogundipe edited begin_itemize_item_textbf_sqrt__.tex
over 8 years ago
Commit id: b25a16e01c9f6fe36130623b4d823792b9bb7a18
deletions | additions
diff --git a/begin_itemize_item_textbf_sqrt__.tex b/begin_itemize_item_textbf_sqrt__.tex
index 810845c..36c1f46 100644
--- a/begin_itemize_item_textbf_sqrt__.tex
+++ b/begin_itemize_item_textbf_sqrt__.tex
...
\\ The product of two integers will always be an integer. The product of a integer and an irrational is not an integer. Since n is an integer and $\sqrt{2}$ is irrational, $n\sqrt{2}$ is not an integer.
\\ Both statements are false.
\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 is when n = 1. Then $1\sqrt{2}$ = $\sqrt{2}$
\item \textbf{Convert the above into a structured proof that $\sqrt{2}$ is not a rational number.}
\item \textbf{Show that $\log _2(3)$ is not a rational number.}
\\