Say you are considering two loans. Loan F has a nominal interest rate of 5.66%, compounded monthly. Loan G has a rate of 6.02%, compounded semiannually. Which loan will give the lower effective interest rate, and how much lower
will it be?
a. Loan G's effective rate will be 0.091 percentage points lower than Loan F's,
b. Loan G's effective rate will be 0.058 percentage points lower than Loan F's.
C Loan F's effective rate will be 0.302 percentage points lower than Loan G's.
d. Loan F's effective rate will be 0.149 percentage points lower than Loan G's.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?