Exponents & Radicals Day 3

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Presentation transcript:

Exponents & Radicals Day 3 Decide if each of the following radical sentences is True or False when using the real number system. 1. 2. 3. 4. 5. 6. 7. 8. 9.

The Radical World: Operations with radicals can have answers that are real but not rational. The real numbers fall into two groups. 1. Rational numbers include integers, fractions and decimals that terminate or repeat. 2. Irrational numbers include decimals that do NOT repeat or terminate.

Rewrite in Standard Radical Form. 1. 2.

Multiply Radicals: Answers should be in standard radical form. if x and y are NONNEGATIVE real numbers 1. 2. 3. 4.

Radical Quotients: Write answers in standard radical form. if y≠0 and x and y are NONNEGATIVE real numbers 1. 2.

Rationalize the Denominator: Make the denominator in the expression a rational number. 1. 2. 3. 4.

Radical Definitions: If x is a real number and n is a positive integer, then whenever is defined. When would this apply?

Simplify each. 2. 3. 4. 5. 6.