MATH SOLVE

10 months ago

Q:
# the product of two rational numbers

Accepted Solution

A:

Answer:'The product of two rational numbers is rational' Step-by-step explanation:Statement 'The product of two rational numbers'.We know that, 'The product of two rational numbers is rational'.We can prove it,Let [tex]\frac{a}{b}[/tex] and [tex]\frac{p}{q}[/tex] are two rational number.Where, a,b,p,q are integers and [tex]b,q\neq 0[/tex]Now, Product the two rational number[tex]\frac{a}{b}\times \frac{p}{q}=\frac{ap}{bq}[/tex] Since, ap and bq are integers and [tex]bq\neq 0[/tex]Thus, [tex]\frac{ap}{bq}[/tex] is an fraction with integers in the numerator and denominator making it a rational number.Therefore, 'The product of two rational numbers is rational' is true.