if you subtract a rational number from an irrational number , the result is an irrational number
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Subtraction of rational and irrational number is always irrational. Multiplication of a non-zeror rational and irrational is always irrational. Division of a non-zero rational and irrational is always irrational.
Step-by-step explanation:
If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational. A better statement would be: "The product of a non-zero rational number and an irrational number is irrational.
Since subtraction is just addition of additive inverses, subtraction involving a rational and an irrational number will give an irrational result
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