meter).<span class="intersentencespace"></span> There are no integers <span class="inline_math">\( x \)</span> and <span class="inline_math">\( y \)</span> such that <span class="inline_math">\( \sqrt{2}=\frac{x}{y} \)</span>,
therefore we say that <span class="inline_math">\( \sqrt{2} \)</span> is <em>irrational</em> (not in the set <span class="inline_math">\( \mathbb{Q} \)</span>).<span class="intersentencespace"></span> An irrational number has an infinitely long decimal expansion that doesn’t repeat.