# Rational Exponents (Rational Indices)

$\textit{Square Root}$ Until now, the exponents (indices) have all been integers. In theory, an exponent (index) can be any number. We will confine ourselves to the case of exponents (indices) which are the rational number (fractions). The symbol $\sqrt{x}$ means square root of $x$. It means, finds a number that multiplies by itself to give […]

$\textbf{Introduction to Proof by Contradiction}$ The basic idea of $\textit{Proof by Contradiction}$ is to assume that the statement that we want to prove is $\textit{false}$, and then show this assumption leads to nonsense. We then conclude that it was wrong to assume the statement was $\textit{false}$, so the statement must be $\textit{true}$. As an example […]