Products of Rational and Irrational Numbers: The product of two rational number is The product of a rational and irrational number is The product of two irrational numbers is Example 14: Which statement is not always true? 1. 2. 3. 4. The product of two irrational numbers is irrational. The product of two rational numbers is rational. The sum of two rational numbers is rational The sum of a rational number and an irrational number is irrational. Example 15: For which value of P and W is P+ Wa rational number? ********* *********** The following are NYS Regents Exam Questions: Example 12: Determine if the product 32 and 818 is rational or irrational Explain your answer. 1. P = and W = 2. P=and W= = 3. P=and W= 4. P= and W= =$2 Example 16: Given the following expressions: I. - 3+ 3/3 II. +2 Example 13: Ms. Fox asked her class, "Is the sum of 4.2 and 2 rational or irrational?" Patrick answered the sum would be irrational. State whether Patrick is correct or incorrect. Justify your reasoning. III. (5) IV. 3(49) Which expression(s) result in an irrational number? 1. II, only 2. III, only 3. I, III, IV 4. II, III, IV