Objective: Write radical expressions in simplified forms using addition, subtraction, and multiplication with several terms
Radical expressions can be added and subtracted, although this can appear confusing at first due to the radical signs (aka square root symbols). But if we remember or rules for how to combine like terms, then we can apply those same rules in order to combine like radicals. Like radicals are any two radicals that have the exact same radicand. See the video for how to combine like radicals, but also how to simplify radical expression before and after performing the addition and subtraction operations.
Now that we have worked with radical expressions that contain several terms (through addition and subtraction), let's return to multiplication and discover how to multiply radical expressions that contain several terms. To do this, we must simply combine several previously known concepts. First, we must remember how the distributive property for multiplication works. And second, we must remember how to multiply and simplify radical expressions. If we can do those, then multiplying radical expression with multiple terms should not be a challenge.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.