1. 2.1 Solving Radical Equations

2. I can solve radical equations and equations with rational exponents
Essential standard
I can solve radical equations and equations with rational exponents

3. Warm up
Rewrite the rational expression into radical form, then simplify.
1) )
Can you simplify the rational expression without rewriting it as a radical?

4. Warm up
Simplify
3) ) )

5. Radical Equation
A Radical Equation is an equation that has a variable in the radicand or a variable with a rational exponent.
Give an example of each type of radical equation.

6. Extraneous solution
What is an extraneous solution?

9. Got it? Solve the radical equation

10. Rational Exponents
Isolate the part of the equation with the rational exponent
Raise each side of the equation to the reciprocal power
Simplify- when evaluating it’s generally easiest to do the root first then the power.
Isolate the variable
Check answers – some solutions may be extraneous (meaning they aren’t actually solutions, plug your solutions into the original equation to be sure that it works)

12. Problem 2b
What is the solution of 3 𝑥 =25

13. Solve the equation

14. Problem 3A
What is the solution of 𝑥+8 = 𝑥

15. Problem 3B
2𝑥+1 = 𝑥

16. Problem 4
What is the solution of 8𝑥−12 =𝑥. Check your solutions.

17. I can solve radical equations and equations with rational exponents
Essential standard
I can solve radical equations and equations with rational exponents