Pre-Calculus 11 Notes

By: Gen L.

Lesson 3: Radical Equations

Restrictions

• If is an even number, we need to state restrictions (like NPVs) on the variable since you cannot have a negative number under a root w/ an even index.
• To get the restrictions, take radicand and solve for variable. (if /-, restrictions flip.)

Example: Solving Restrictions

Example: Solving an Equation

1. • State Restrictions:
2. • Remove radical
3. • Solve for x.
4. • Check answer isn't extraneous

Example

1. • State restrictions: Flip sides.
2. • Clear radical
4. • Factor
5. • Verify

Example: Multiple Radicals

1. • State restrictions:
2. • Clear Radicals (Only remove one at a time)

Multiple Radicals, cont.

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