Question

true or false the product of two irrational numbers is always an irrational number

Answer 1

if you add a never ending number to a never ending number what do you get?

Answer 2

True

Answer 3

What's your logic? I mean, the square root of 2 times the square root of 8 is the square root of 16 which is rational...

Answer 4

haha oops i feel dumb.
thanks

Answer 5

so is it true or false

Answer 6

dont listen to me, read what branlegr said

Answer 7

false

Answer 8

explain why you said false

Answer 9

If you can come up with a counterexample to the statement, then the statement is false. sqrt(2) and sqrt(8) are two irrational numbers. If you multiply them together, you get sqrt(16) = 4. Since 4 is a rational number, you have shown that the product of two irrational numbers is not ALWAYS an irrational number.

Answer 10

thank you for explaining it that way, i can understand it better