Question

Give an example for each. If two irrational numbers whose

i. Difference is a rational number.

ii. Difference is an irrational number.

iii. Sum is a rational number.

iv. Sum is an irrational number.
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Answer 1

Answer:

1. A rational number is a number that can be written as a fraction. The difference between two rational numbers, a/b and c/d, is equal to the result of subtracting the smaller number from the larger number.

2. Irrational Numbers includes surds such as 2, 3, 5, 7 and so on. Both the numerator and denominator are whole numbers, in which the denominator is not equal to zero. Irrational numbers cannot be written in fractional form.

3. "The sum of two rational numbers is rational."

By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero).

4. The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

Step-by-step explanation:

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