Square Roots: Four Operations and Radical Equations
In last hour’s introduction to square roots, you used multiplication and division as you simplified the radical terms. When you learned about polynomials—how to combine like terms and use the FOIL method for multiplying binomials, along with other operations—you worked from your knowledge of basic algebraic properties. In a similar way, working with more advanced square root expressions is based on many of the same methods you used to simplify basic radicals. By the end of this hour, you will be able to solve equations that include square roots, which some people would call a “radical” goal. The first step is to learn how the basic operations affect square root expressions.