Question

Is 10x √19 rational?

Answer 1

The product of a non-zero rational and an irrational number is always irrational. So;

`10*\sqrt[]{19}\text{ }\rightarrow\text{ Irrational}`

Step-by-step explanation:

We wnat to determine whether the number below is a rational o irrational number.

`10*\sqrt[]{19}`

Note that 10 is ratioanal and root 19 is irrational;

`\begin{gathered} 10\text{ }\rightarrow\text{ rational} \\ \sqrt[]{19}\text{ }\rightarrow\text{ irrational} \end{gathered}`

Recall that the product of a non-zero rational and an irrational number is always irrational. So;

`10*\sqrt[]{19}\text{ }\rightarrow\text{ Irrational}`