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Products of Rational and Irrational Numbers The product of two rational number is The product...

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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 The following are NYS Regents Exam Questions Example 12 Determine if the product of 3 2 and 8 18 is rational or irrational Explain your answer 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 Aud and Example 14 Which statement is not always true The product of two jerational numbers is irrational 1 The product of two rational numbers is rational The sum oftvo rational numbers is rational The sum of a rational number and an irrational number is irrational 2 3 4 Example 15 For which value of P and Wis P W a rational number 1 2 3 4 and W P and W P and W P 25 and W 2 P Example 16 Given the following expressions I II 2 III 5 5 IV 3 49 to Which expression s result in an irrational number 1 II only 2 III only 3 I III IV 4 II III IV

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