Is zero an irrational or rational number

Asked by maham237 @ in Mathematics viewed by 275 People

If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
The product pq is irrational.

The product pt is irrational.

The quotient pqpq is irrational.

The quotient stst is rational.

The product st is irrational.

Answered by maham237 @


The product pq is irrational. Always false

The product pt is irrational. True. Think: 3pi is irrational, even tho' 3 is rational, because pi is irrational.

The quotient pqpq is irrational. Sorry, but neither pqpq nor stst is a
properly formed quotient. Try again.
The quotient stst is rational.

The product st is irrational. Both s and t are irrational. Multiplying two irrational numbers together does not make the product rational. Always false.

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