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Earn +20 ptsQ: What does nonzero irrational number mean?
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What is product of a nonzero rational number and a irrational number?
It is an irrational number.
What is the product of a nonzero rational number and an irrational number?
The product will be irrational.
Is the product of a nonzero rational and a irrational number irrational?
Yes, always.
Is 82 an irrational number?
82 is not an irrational number because it can be expressed as the quotient of two integers: 82÷ 1.
Why the product of nonzero rational number and an irrational number is an irrational?
Suppose a is rational (and non-zero) and x is irrational. Suppose ax is rational;write ax = b where b is rational.Then x = b/a, and x would be rational, contradiction.
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