Consider the following statements. Select all that are always true.- The sum of a rational number and a rational number is ratio
1 answer:
It is important to know that the sum of two rational numbers is rational. Similarly, the sum between a rational and an irrational is irrational, but not always. Similarly, the sum of two irrational numbers is sometimes irrational, not always.
But, the product between two rational numbers is always rational. However, the product between a rational number and an irrational is not always irrational because the number zero would be a counterexample.
At last, the product of two irrational numbers is sometimes irrational.
The following image shows the diagram
As you can observe, rational and irrational numbers don't have common elements, so they don't intersect.
Hence, the true statements are
• The sum of two rational numbers is rational.
,• The sum of a rational number and an irrational number is irrational.
,• The product between two rational numbers is always rational.
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