3-1 © 2011 Pearson Prentice Hall. All rights reserved Chapter 8 Rational Exponents, Radicals, and Complex Numbers Active Learning Questions

3-2 © 2011 Pearson Prentice Hall. All rights reserved Section 7.1 Radicals and Radical Functions Identify the domain of a.) [0, ∞) b.) (– ∞, ∞) c.) [5, ∞)

3-3 © 2011 Pearson Prentice Hall. All rights reserved Section 7.1 Radicals and Radical Functions Identify the domain of a.) [0, ∞) b.) (– ∞, ∞) c.) [5, ∞)

3-4 © 2011 Pearson Prentice Hall. All rights reserved Section 7.1 Radicals and Radical Functions Which one is not a real number? a.) b.) c.)

3-5 © 2011 Pearson Prentice Hall. All rights reserved Section 7.1 Radicals and Radical Functions Which one is not a real number? a.) b.) c.)

3-6 © 2011 Pearson Prentice Hall. All rights reserved Section 7.2 Rational Exponents Simplify: a.) b.) c.)

3-7 © 2011 Pearson Prentice Hall. All rights reserved Section 7.2 Rational Exponents Simplify: a.) b.) c.)

3-8 © 2011 Pearson Prentice Hall. All rights reserved Section 7.2 Rational Exponents Which one is correct? c.)a.) b.)

3-9 © 2011 Pearson Prentice Hall. All rights reserved Section 7.2 Rational Exponents Which one is correct? c.)a.) b.)

3-10 © 2011 Pearson Prentice Hall. All rights reserved Section 7.3 Simplifying Radical Expressions Find and correct the error: a.) b.) c.)

3-11 © 2011 Pearson Prentice Hall. All rights reserved Section 7.3 Simplifying Radical Expressions Find and correct the error: a.) b.) c.)

3-12 © 2011 Pearson Prentice Hall. All rights reserved Section 7.4 Adding, Subtracting, and Multiplying Radical Expressions Which is true? a.) b.) c.)

3-13 © 2011 Pearson Prentice Hall. All rights reserved Section 7.4 Adding, Subtracting, and Multiplying Radical Expressions Which is true? a.) b.) c.)

3-14 © 2011 Pearson Prentice Hall. All rights reserved Section 7.4 Adding, Subtracting, and Multiplying Radical Expressions True or false? a.) True b.) False c.) Sometimes true

3-15 © 2011 Pearson Prentice Hall. All rights reserved Section 7.4 Adding, Subtracting, and Multiplying Radical Expressions True or false? a.) True b.) False c.) Sometimes true

3-16 © 2011 Pearson Prentice Hall. All rights reserved To rationalize the denominator of multiply by what form of 1? a.) b.) c.) Section 7.5 Rationalizing Numerators and Denominators of Radical Expressions

3-17 © 2011 Pearson Prentice Hall. All rights reserved To rationalize the denominator of multiply by what form of 1? a.) b.) c.) Section 7.5 Rationalizing Numerators and Denominators of Radical Expressions

3-18 © 2011 Pearson Prentice Hall. All rights reserved Determine by which number the numerator and denominator can be multiplied by to rationalize the denominator of a.) b.) c.) Section 7.5 Rationalizing Numerators and Denominators of Radical Expressions

3-19 © 2011 Pearson Prentice Hall. All rights reserved Section 7.5 Rationalizing Numerators and Denominators of Radical Expressions Determine by which number the numerator and denominator can be multiplied by to rationalize the denominator of a.) b.) c.)

3-20 © 2011 Pearson Prentice Hall. All rights reserved Section 7.6 Radical Equations and Problem Solving Choose the next step to solve: a.) b.) c.)

3-21 © 2011 Pearson Prentice Hall. All rights reserved Section 7.6 Radical Equations and Problem Solving Choose the next step to solve: a.) b.) c.)

3-22 © 2011 Pearson Prentice Hall. All rights reserved Section 7.6 Radical Equations and Problem Solving How can you immediately tell that the equation has no real solution? a.) The square root of a number is never negative. b.) You cannot take the square root of a variable. c.) 2y + 3 equals 0.

3-23 © 2011 Pearson Prentice Hall. All rights reserved Section 7.6 Radical Equations and Problem Solving How can you immediately tell that the equation has no real solution? a.) The square root of a number is never negative. b.) You cannot take the square root of a variable. c.) 2y + 3 equals 0.

3-24 © 2011 Pearson Prentice Hall. All rights reserved Section 7.7 Complex Numbers True of false? Every complex number is also a real number. a.) True b.) False c.) Sometimes true

3-25 © 2011 Pearson Prentice Hall. All rights reserved Section 7.7 Complex Numbers True of false? Every complex number is also a real number. a.) True b.) False c.) Sometimes true