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Billy is trying to convince Sam that all square roots are irrational. To support his argument, Billy points out that , , , and are all irrational. Since this set of numbers contains the square roots of both prime and composite numbers as well as even and odd numbers, Billy argues that there is no number (prime, composite, even, or odd) whose square root is rational. Thus, all square roots must be irrational. Where has Billy made his error? A. He has made no error. All square roots are irrational. B. Neither nor are irrational. His argument about the square root of even numbers is i
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