Em janeiro quando o dolar estadunidense era cotado a 3,90,luiz comprou US$2500,00como forma de proteger seu dinheiro. Em outubro de 2020, quando a cotaçao da moeda norte americana era de R$5,80 ele vendeu todos os seus dolares qual foi o lucro, em reais, obtido por luiz?

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?