Question

Can the product of two irrational numbers be rational? Explain your answer and support with an example.

Answer 1

Yes! The product of 2 irrational numbers can be rational. An irrational number is a number that cannot be written in the form a/b with b ≠ 0. So an example of an irrational number is π. But, when an irrational number, a square root, is multiplied by another square root that will make it's value equal to a square root that will be a positive number, then it will be a rational number. That's because of the rule √a · √b = √ab. For example √13 · √52 = √676 = 26. 

Answer 2

Answer:

Sample Response: Yes, the product can be rational. The best example for this to happen is if you take the square root of a non-perfect square and square it, or multiply it by itself. This “undoes” the squaring, so you get a whole number, e.g. √5x√5 = 5.

Step-by-step explanation:

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