1. Simplify Radical Expressions
What steps would you take in simplifying the following:
√(3+92)

2. EQs…
How do we simplify algebraic and numeric expressions involving square root?
How do we perform operations with square roots?

3. Vocabulary
Simplest Form – A radical expression is in simplest form if no perfect square factors other than 1 are in the radicand, no fractions are in the radicand, and no radicals appear in the denominator of the fraction.
Rationalizing the Denominator – The process of eliminating a radical from an expression’s denominator.

4. Vocabulary Radical Conjugates –
Product Property of Radicals – States that the square root of a product equals the product of the square roots of the factors.
Quotient Property of Radicals – States that the square roots of a quotient equals the quotient of the square roots of the numerator and denominator.

5. Example 1 Use the product property of radicals
Simplify the expression.

6. Multiplying Radicals *
To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.

7. Multiply and then simplify

8. Example 2 Multiply radicals
Simplify the expression.

9. Example 3 Use the quotient property of radicals
Simplify the expression.

10. Guided Practice for Examples 1, 2, & 3
Simplify the expression.

11. Guided Practice for Examples 1, 2, & 3
Simplify the expression.

12. Example 4 Rationalize the denominator

13. + To combine radicals: combine the coefficients of like radicals
Combining Radicals +
To combine radicals: combine the coefficients of like radicals

14. Simplify each expression

15. Simplify each expression: Simplify each radical first and then combine.

16. Example 5 Add and Subtract Radicals

17. Guided Practice for Examples 4 & 5 Add and Subtract Radicals

18. Joke of the Day…
Why was the math book crying?

19. It had too many problems!