Try to prove the hypothesis from part b that the sum of a rational and an irrational number is an irrational number. let’s say is x an irrational number and y is a rational number. the rational number y can be written as y=a/b , where a and b are integers and b does not equal 0. leave the irrational number x as x since it can’t be written as the ratio of two integers. prove the hypothesis using a proof by contradiction. in other words, try to show that x+y equals a rational number instead of an irrational number. let the sum equal m/n , where m and n are integers and n does not equal 0. plug in the values to get this equation: x+a/b=m/n now, solve the equation for x .