Answer :
Answer:
The product of a non-zero rational and an irrational number is always irrational. So;
[tex]10\times\sqrt[]{19}\text{ }\rightarrow\text{ Irrational}[/tex]Explanation:
We wnat to determine whether the number below is a rational o irrational number.
[tex]10\times\sqrt[]{19}[/tex]Note that 10 is ratioanal and root 19 is irrational;
[tex]\begin{gathered} 10\text{ }\rightarrow\text{ rational} \\ \sqrt[]{19}\text{ }\rightarrow\text{ irrational} \end{gathered}[/tex]Recall that the product of a non-zero rational and an irrational number is always irrational. So;
[tex]10\times\sqrt[]{19}\text{ }\rightarrow\text{ Irrational}[/tex]