Question

Which expression results in a rational number? (1) V2.VIS (3) V2 + 2 (2) 5.5 (4) 3V2 +213

Answer 1

Step 1

Consider all options

`\begin{gathered} \sqrt[]{2}+\sqrt[]{2}=\text{ 2}\sqrt[]{2}\text{ and 2}\sqrt[]{2\text{ }}is\text{ irrationl} \\ 5*\sqrt[]{5}=\text{ 5}\sqrt[]{5}\text{ and 5}\sqrt[]{5\text{ }}is\text{ irrational} \end{gathered}`
`\begin{gathered} 3\sqrt[]{2\text{ }}+\text{ 2}\sqrt[]{3}=\text{ 3}\sqrt[]{2\text{ }}_{_{_{_{_{_{_{_{_{_{_{}}}}}}}}}}}+2\sqrt[]{3}\text{ and this is irrational} \\ \sqrt[]{2}*\sqrt[]{18}=\sqrt[]{36\text{ }}=6\text{ and 6 is rational} \end{gathered}`

Hence the answer is option A