Achemist is cooling a reaction mixture with an ice and salt bath. the temperature of the mixture starts at 97.5 degrees celsius and changes by -7.5 degrees celsius every 3.5 minutes for 35 minutes. then the temperature changes mire slowly by -3.5 degrees celsius every 7.5 minutes. how long does the mixture stay in the ice and salt bath to reach a temperature of 5 degrees celsius?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?