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## Main Question or Discussion Point

Some speculation:

Given that irrational numbers can be grouped in products of 2, 3...or N-->oo members, the products themselves being

and

given that irrational numbers can be grouped in products of 2, 3...or N-->oo members, the products themselves being

it would seem that the product of all irrationals would be both irrational and rational, something like the limiting value of the sine function.

What do you think?

Given that irrational numbers can be grouped in products of 2, 3...or N-->oo members, the products themselves being

*irrational*,and

given that irrational numbers can be grouped in products of 2, 3...or N-->oo members, the products themselves being

*rational*,it would seem that the product of all irrationals would be both irrational and rational, something like the limiting value of the sine function.

What do you think?