Move the options into the paragraph to complete the explanation that the product of a rational number and an irrational number is irrational.
Let y equal the product of rational number 4 and irrational number 5.
Assume y = 415 is a rational number. The equation can be rearranged to find V5 =
Since y and 4 are both rational numbers,
must be rational.
However, because
is irrational, then
4
must be irrational because
must be irrational
Because we know 4 is a rational number, then