Final answer:
The initial question involves simplifying radical expressions, but the provided details mostly pertain to solving quadratic equations with the quadratic formula, which is not directly relevant to the simplification of radicals.
Step-by-step explanation:
The initial question seems to be asking for the simplification of various radical expressions and products. However, most of the provided information relates to the quadratic formula, which is unrelated to the question about radicals. To use the quadratic formula, one must have an equation of the form at² + bt + c = 0, where a, b, and c are known constants. The solutions to the equation can be found using the formula -b ± √(b² - 4ac) / (2a). The information related to vectors and Pythagorean theorem is extraneous and does not fit the context of the initial radical simplification question.