Understanding Rational Expressions: Addition, Subtraction, and Rationalization

UNIT 1A LESSON 3 OPERATIONS WITH RATIONALS & RADICALS

Rational Expressions Addition & Subtraction of rational expressions requires a common denominator

To divide rational expressions we multiply by the reciprocal. 2 1 2 1

To divide rational expressions we multiply by the reciprocal.

Consider this division of a compound fraction

The ability to simplify an expression by rationalizing it is important in problems involving limits. • Recall that the conjugate of any expression of the form is , and vice versa. • Rationalizing often involves multiplying the numerator and denominator by the conjugate of the expression that is being rationalized. RATIONALIZING NUMERATORS AND DENOMINATORS

Rationalize the denominator Rationalize the numerator

Rationalize the denominator of the expression

Rationalize the numerator of the expression

Rationalize the numerator of the expression 1

Understanding Rational Expressions: Addition, Subtraction, and Rationalization

Understanding Rational Expressions: Addition, Subtraction, and Rationalization

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Welcome to First Aid Skills

A Fox and a Kit

Unit 5

Powers, Roots, and Radicals

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unit05

Table of Contents – pages iv-v

Table of Contents – pages iii

Table of Contents – pages iv-v

Table of Contents – pages iii

Table of Contents – pages iv-v

Table of Contents – pages iv-v

Table of Contents – pages iv-v

Toxins Unit

Table of Contents – pages iv-v

LESSON PLAN ENGLISH 10 Unit 7: THE MASS MEDIA READING

Table of Contents – pages iv-v

Table of Contents – pages iii

Table of Contents – pages iv-v

Toxins Unit