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title{sc Homework 1}
author{sc by Me}
date{sc January 2017}

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noindent 1) Show that $sqrt{2} in mathbb{R} $
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We will define two sequences, $A_k$ and $B_k$.
Let $A_k = a_1.a_2a_3a_4dots a_k$, and ${A_k}^2 > 2$ but decreasing the last digit, $a_k$,
by 1 will result ${A_k}^2 < 2$.

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