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Operations on Rational and Irrational Numbers

Question 11 • Adv. Algebra II S2 Original

What type of answer would you expect from the problem below? Explain why you expect that type of answer. Rational; Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number.✔ Irrational; When these numbers are multiplied, the answer still has an irrational number in it, so the answer is irrational.Irrational; When these numbers are multiplied, the answer is not possible because there is a negative sign in the radical, so the answer is irrational.

Question illustration
Answer
A
Rational; Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number.
B
✔ Irrational; When these numbers are multiplied, the answer still has an irrational number in it, so the answer is irrational.
C
Irrational; When these numbers are multiplied, the answer is not possible because there is a negative sign in the radical, so the answer is irrational.