ttyme411gl

2022-07-02

Prove that if a and b are real numbers such that the product of ab is an irrational number, then either a or b must be an irrational number.

Jayvion Tyler

Expert

Suppose the contrary: if a and b are rational, then their product is also rational (basic algebra $\frac{p}{q}\frac{r}{s}=\frac{pr}{qs}$)