This document discusses properties and simplifying radicals in algebra. It outlines the product property which states the square root of a product equals the product of the square roots of the factors. It also describes the quotient property where the square root of a quotient equals the quotient of the square roots of the numerator and denominator. Finally, it defines simplest form as having no perfect square factors inside the radical, no fractions in the radical, and no radicals in the denominator of a fraction.