Select from the drop-down menus to correctly complete the proof using rational or irrational for your answers
To prove that 4π is irrational, assume the product is rational and set it equal to a/b, where b is not equal to 0: 4π = a/b. Isolating π gives π=a/4b. The right side of the equation is _______(rational or irrational).
Because the left side of the equation is ________(rational or irrational)
, this is a contradiction.
Therefore, the assumption is wrong, and the number 4π is
________(rational or irrational).