7 5 Solving Radical Equations Objective Be able

7. 5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations

Definitions A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent). Steps to solving a radical equation: 1) Isolate the radical on one side of the equation. 2) Raise both sides of the equation to the same power. 3) Check your solution(s). Some may be extraneous.

Solving - *check for extraneous solutions

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions Ex 4) Solve

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions Ex 5) Solve

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions PRACTICE!!

Solving - *check for extraneous solutions PRACTICE!!

Solving - *check for extraneous solutions 6) The volume V of a sphere and its radius r are related by the following cube root equation. What is the volume of a sphere with a radius of 6 cm?

Homework #11 www. phschool. com web code: age-0705 WATCH These Videos: #2. Solving radical equations with rational exponents #3. Solving radical equations and checking for extraneous solutions #4. Solving equations with two rational exponents DO These Problems: Pg 394 #1, 5, 7, 9, 11, 18, 20, 21, 27