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Section 7.1. Rational Exponents and Radicals. Find the n th root of a number, if it exists. A. OBJECTIVES. Evaluate expressions containing rational exponents. B. OBJECTIVES. Simplify expressions involving rational exponents. C. OBJECTIVES. DEFINITION. N TH ROOT.
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Section 7.1 Rational Exponents and Radicals
Find the nth root of a number, if it exists. A OBJECTIVES
Evaluate expressions containing rational exponents. B OBJECTIVES
Simplify expressions involving rational exponents. C OBJECTIVES
DEFINITION NTH ROOT If a and x are real numbers and n is a positive integer: x is an nth root of a if xn = a
DEFINITION PRINCIPLE NTH ROOT
DEFINITION RATIONAL EXPONENTS AND THEIR ROOTS
DEFINITION RADICAL EXPRESSION WITH AN M/N EXPONENT
LAWS OF EXPONENTS If r, s, and t are rational, and a and b are real:
LAWS OF EXPONENTS If r, s, and t are rational, and a and b are real:
Practice Test Chapter 7Section 7.1A Exercise #1
Practice Test Chapter 7Section 7.1B Exercise #4
Section 7.2 Simplifying Radicals
Simplify radical expressions. A OBJECTIVES
Rationalize the denominator of a fraction. B OBJECTIVES
Reduce the order of a radical expression. C OBJECTIVES
DEFINITION nTH ROOT
LAWS For Simplifying Radical Expressions
LAWS For Simplifying Radical Expressions
LAWS For Simplifying Radical Expressions
Practice Test Chapter 7Section 7.2A Exercise #7b
Practice Test Chapter 7Section 7.2A Exercise #8b
Practice Test Chapter 7Section 7.2A Exercise #9b
Section 7.3 Operations with Radicals
Add and subtract similar radical expressions. A OBJECTIVES
Multiply and divide radical expressions. B OBJECTIVES
Rationalize the denominators of radical expressions involving sums or differences. C OBJECTIVES
DEFINITION LIKE RADICAL EXPRESSIONS Radical expressions with the same index and the same radicand.
DEFINITION CONJUGATE The expressions a + b and a – b are conjugates of each other.
Practice Test Chapter 7Section 7.3A Exercise #14
Practice Test Chapter 7Section 7.3B Exercise #16b
Practice Test Chapter 7Section 7.3B Exercise #18b
Practice Test Chapter 7Section 7.3C Exercise #20
Section 7.4 Solving Equations Containing Radicals
Solve equations involving radicals. A OBJECTIVES
Solve applications requiring the solution of radical equations. B OBJECTIVES