This document discusses how to solve radical equations in algebra. It provides rules for the order of operations and explains that to "undo" a root, you raise both sides of the equation to the reciprocal power. This can sometimes lead to extraneous solutions that do not fit in the original equation. It then provides 5 examples of solving radical equations step-by-step.

1. Solving Radical Equations Algebra 2 7.6 p. 437

2. RULES What is the order of operations? Parentheses Exponents Multiply and Divide Add and Subtract

3. RULES Note:

4. How do you “undo” a root ? Raise both sides of the equation to the reciprocal power (which cancels the root). For example: Undo a square root (or 1/2 power) by squaring it.

5. Raising an equation to a power can sometimes give you an extraneous solution . This means an answer that doesn’t fit in the original equation.

6. Example 1

7. Example 2

8. Example 3

9. Example 4

10. Example 5

11. Check solutions for Ex 5