Choose a number that will produce an irrational answer when added to . Choose from among these four numbers: , , 0.404040..., 0.286. Complete each step to help you make your choice. Step 1: Identify the type of number that is given. The number is a(n) (rational / irrational) number. (1 point) Step 2: Identify the type of answer that is desired. A(n) (rational / irrational) number answer is desired. (1 point) Step 3: Identify the rule that applies. Fill in the blank with rational or irrational. This rule applies: rational + = irrational. (1 point) Step 4: Identify the type of number that must be chosen based on the rule. A(n) (rational / irrational) number must be chosen based on the rule. (1 point) Step 5: Identify the required number from among the choices and give a reason for your answer. will produce an irrational answer when added to , because . (2 points)