1. is the product of √16 and 4/7 rational or irrational? explain your reasoning. 2. the product of √576 and √684 is: a irrational because both factors are irrational b rational because both factors are rational c irrational because one factor is irrational d rational because one factor is rational 3. a teacher wrote the following set of numbers on the board: a = √20 b = 2.5 c = √225 explain why a + b is irrational but b + c is rational. 4. jakob is working on his math homework. he decides that the sum of the expression 1/3 +6√5/7 must be rational because it is a fraction. is jakob correct? explain your reasoning.