This is LaTeX code:
[latex]
\left\lfloor \sqrt{n} \right\rfloor \leq \sqrt n < \left\lfloor \sqrt{n} \right\rfloor + 1 \implies 0 \leq \sqrt n - \left\lfloor \sqrt{n} \right\rfloor < 1 \qquad (1)
[/latex]