Select from the drop-down menus to correctly complete the proof. to prove that 2√⋅7 is irrational, assume the product is rational and set it equal to ab , where b is not equal to 0. isolating the radical gives 2√=a7b . the right side of the equation is (irrational, rational). because the left side of the equation is (irrational, rational), this is a contradiction. therefore, the assumption is wrong, and the product is (rational, irrational).