What is the first step in solving the quadratic equation x^2-40=0
a. taking the square root of both side of the equation
b. adding 40 to both sides of the equation
c. squaring both sides of the equation
d. subtracing 40 from both sides of the equation

Which of the following is a proper fraction? a. 9⁄8 b. 5⁄6 c. 7⁄3 d. 4⁄2

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?

Which term below correctly completes the following sentence? if a function has a vertical asymptote at a certain x value, then the function is what at that value