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Rational and Irrational Number Properties
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ACT Prep
ACTM.052 Rational and Irrational Number Properties
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Let x be irrational and r be a nonzero rational number. Which explanation shows why r/x cannot be rational?
A
If r/x were rational, then x would have to equal 0.
B
Because r is rational, every quotient with r as the numerator is rational.
C
Because x is irrational, the quotient r/x is undefined.
D
If r/x were rational, then x = r/(r/x) would be rational, a contradiction.
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