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Read each statement carefully. Then select if the result of the statement will be rational or irrational. (3 points)

Rational Irrational
The sum of two rational numbers is always the result what type of number?

The sum of a rational and irrational number will result in what type of number?

The product of a nonzero rational number and an irrational number will result in what type of number?

1 answer

Let's analyze each statement:

  1. The sum of two rational numbers is always the result of what type of number?

    • Result: Rational
    • Explanation: The sum of two rational numbers is always rational.

  2. The sum of a rational and an irrational number will result in what type of number?

    • Result: Irrational
    • Explanation: The sum of a rational number and an irrational number is always irrational.

  3. The product of a nonzero rational number and an irrational number will result in what type of number?

    • Result: Irrational
    • Explanation: The product of a nonzero rational number and an irrational number is always irrational.

So, to summarize your results:

  • The first statement is Rational.
  • The second statement is Irrational.
  • The third statement is Irrational.