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Simplify Radical Expressions

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Presentation on theme: "Simplify Radical Expressions"— Presentation transcript:

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!


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