Presentation is loading. Please wait.

Presentation is loading. Please wait.

Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )

Similar presentations


Presentation on theme: "Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )"— Presentation transcript:

1 Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )

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 expressions 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 * 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

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!


Download ppt "Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )"

Similar presentations


Ads by Google