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UNIT 1A LESSON 3 OPERATIONS WITH RATIONALS & RADICALS

UNIT 1A LESSON 3 OPERATIONS WITH RATIONALS & RADICALS. Rational Expressions. Addition & Subtraction of rational expressions requires a common denominator. Rational Expressions. Addition & Subtraction of rational expressions requires a common denominator. Rational Expressions.

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UNIT 1A LESSON 3 OPERATIONS WITH RATIONALS & RADICALS

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  1. UNIT 1A LESSON 3 OPERATIONS WITH RATIONALS & RADICALS

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

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

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

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

  6. To divide rational expressions we multiply by the reciprocal.

  7. Consider this division of a compound fraction

  8. 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

  9. Rationalize the denominator Rationalize the numerator

  10. Rationalize the denominator Rationalize the numerator

  11. Rationalize the denominator of the expression

  12. Rationalize the numerator of the expression

  13. Rationalize the numerator of the expression 1

  14. Rationalize the numerator of the expression 1

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