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Is the quotient of a rational number and an irrational number always irrational? Explain.​

Is the quotient of a rational number and an irrational number always irrational? Explain.​
asked 146k views
1 vote
Is the quotient of a rational number and
an irrational number always irrational?
Explain.​

asked
User Blake Scholl
by
7.7k points

1 Answer

4 votes

In general, the quotient of two rational numbers (given the denominator is not 0) is rational. Because a rational z contradicts our definition that x is irrational, this must mean z is irrational. Therefore, the product of a rational and irrational number is irrational.

HOPE IT HELPS (◕‿◕✿)

answered
User Leon Segal
by
7.4k points
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