Question

Which of these expressions represents the product of an irrational number and a rational number being irrational? O e ол 7

Answer 1

The question says

`\text{irrational number}* rational\text{ number = irrational number}`

Therefore the best option is

`\begin{gathered} \text{irrational number = }\sqrt[]{3} \\ \text{ratioanl number=}\sqrt[]{49} \\ Therefore, \\ \sqrt[]{3}*\sqrt[]{49}=\sqrt[]{3}*7=7\sqrt[]{3} \\ 7\sqrt[]{3}\text{ is irrational} \end{gathered}`

The answer is C.