Let x and y be non-zero, rational numbers and let z be an irrational number. In the first column of the table below is an expression. In the second column, determine whether the value of each expression is rational or irrational

Question

Expression
x + y
y + z
xy
xz

Value of expression
Rational or irrational

Answer 1

Expression Value of expression Rational or irrational

x + y depends on the values of x and y
y + z irrational
xy depends on the values of x and y
xz irrational