1. Section 5.8 Solving Radical Equations
Algebra II
Section 5.8
Solving Radical Equations

2. Warm Up Simplify each expression. Assume all variables are positive.
# 𝑥 𝑥
# 𝑥 5
# (𝑥+2) 3
#4 2(48𝑦)

3. More warming! Write each expression in radical form. #5 (𝑥+6) 1 2
#5 (𝑥+6) 1 2
#6 (3𝑦+4) 3 5

4. Radical equation-an equation that contains a variable within the radical
When there was an equation with 𝑥 2 (and no x term), what did you do to solve it?

5. For a radical equation-
Isolate the radical
Square or cube both sides
Simplify and solve

6. Solve and check for extraneous answers.
𝑥 =6
2. 𝑥−10 =20
3. (2𝑥+1) =4
𝑥−11 =𝑥−3

7. Try these!
Pg #2-20 even

8. Challenge
What would you have to do to the following equation to solve for x?
(𝑥+1) =4

9. Classwork/homework
Pg #27-41 odd, 45, 50a, 62-65