Question

Please help me solve. I have 81 for blank 1 and 9 for blank 2. it is incorrect

Answer 1

`\sqrt[]{3\text{ }}\text{ x }\sqrt[]{27}`

We can further simplify

`\sqrt[]{27}`

`\begin{gathered} \sqrt[]{27}\text{ = }\sqrt[]{3\text{ x 9}} \\ \sqrt[]{27}\text{ = }\sqrt[]{3}\text{ x }\sqrt[]{9} \end{gathered}`

`\begin{gathered} \sqrt[]{27}\text{ = }\sqrt[]{3}\text{ x 3 = 3 x }\sqrt[]{3} \\ \sqrt[]{27}\text{ = 3 }\sqrt[]{3} \end{gathered}`
`\sqrt[]{3}\text{ x }\sqrt[]{27\text{ }}\text{ = }\sqrt[]{3}\text{ x 3}\sqrt[]{3}`

The answers for the blank spaces are

`\sqrt[]{3}\text{ and 3}\sqrt[]{3}`