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Radical Expressions and Rational Exponents

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Presentation on theme: "Radical Expressions and Rational Exponents"— Presentation transcript:

1 Radical Expressions and Rational Exponents
Algebra

2 Property

3 Multiply Radicals - Example

4 Multiply Radicals - Practice

5 Simplified Radical Expressions
Radical expressions are considered “simplified” when all possible integers have been brought outside the radical sign. Simplified Radical Expressions

6 Simplify Radicals - Example

7 Simplify Radicals - Practice

8 Simplify Radicals - Example

9 Simplify Radicals - Practice

10 Property

11 Simplify Radicals - Example

12 Simplify Radicals - Practice

13 Rationalize the Denominator – Rewriting a fraction so there are no radicals in the denominator. Multiplying the denominator by any radicals removes the radical. Definition

14 Rationalizing - Example

15 Rationalizing - Example

16 Rationalizing - Practice

17 Summary

18 Multiplication and division inside radicals can be combined
Simplified without radical in denominator Simplified when no integers can be removed Big Idea - Summary

19 Summary

20 Example

21 Radical Expressions

22 Rational Exponents – Another way to write radical expressions
Vocabulary

23 Rational Exponents

24 Conjugates - Example

25 Rational Exponents - Practice

26 Rational Exponents - Example

27 Rational Exponents - Practice

28 Rational Exponents - Practice

29 Exponents - Summary

30 Rational Exponents - Example

31 Rational Exponents - Example

32 Rational Exponents - Practice

33 Simplified exponents are always positive numbers
Rational Exponents

34 Rational Exponents - Example

35 Rational Exponents - Practice

36 Big Idea - Summary Radical index is denominator of fractional exponent
Multiply terms with common base – Add exponents Divide terms with common base – Subtract the denominator Negative exponents – Make positive and switch to other side of fraction Exponent to an exponent – Multiply exponents Big Idea - Summary

37 Practice

38 Practice

39 Practice

40 Practice

41 Practice

42 Example

43 Example

44 Pages 615 – 616 30 – 56 even, even, Homework


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