Which of the following statements is false?

the sum of two rational numbers is always rational.
the sum of a rational number and an irrational number is always rational.
the product of a nonzero rational number and an irrational number is always irrational.
the product of two irrational numbers is either rational or irrational.

i think its b

2)given the function f(x) = 2(3)x, section a is from x = 0 to x = 1 and section b is from x = 2 to x = 3.

part a: find the average rate of change of each section. (4 points)
part b: how many times greater is the average rate of change of section b than section a? explain why one rate of change is greater than the other. (6 points)

3)a certain forest covers an area of 2,000 square kilometers. suppose that each year this area decreases by 6%. what is the function that best represents the area of the forest each year and how much area remains after 12 years? round your answer to the nearest square kilometer.
hint: use the formula, f(x) = p(1 + r)x.

f(x) = 2,000(0.94)x, 952 square kilometers
f(x) = 2,000(1.06)x, 4,204 square kilometers
f(x) = 2,000(0.06)x, 1,239 square kilometers
f(x) = 2,000(0.94)x, 1,432 square kilometers

4)the sides of a square are three to the power of two sevenths inches long. what is the area of the square?

nine to the power of four sevenths square inches
three to the power of four sevenths square inches
three to the power of the fraction four over forty nine square inches
nine to the power of the fraction four over forty nine square inches

at least one of these questions