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Reason About Rational and Irrational Closure
Grade Level
Praxis Core
5165.006 Reason About Rational and Irrational Closure
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Which set of conclusions is fully correct?
A
A rational plus an irrational is irrational; a nonzero rational times an irrational is irrational; two irrationals can have a rational or irrational product.
B
A rational plus an irrational is rational; zero times an irrational is irrational; two irrationals always have a rational product.
C
A rational plus an irrational can be rational; a nonzero rational times an irrational is rational; two irrationals always have an irrational product.
D
A rational plus an irrational is undefined; a nonzero rational times an irrational is undefined; two irrationals cannot be multiplied.
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