Question

Simpliy eacg cube root expression. Describe the simplified form of the expression as rational or irrational. In final answer include all your work. 3 square root 81

Answer 1

The required answer is
`3 \sqrt[3]{3}`.

Explanation:

Consider the provided information.

We need to find the cube root of the expression
`\sqrt[3]{81}`.

`\sqrt[3]{81}=\sqrt[3]{27* 3}`

Use the property:
`\sqrt[n]{ab} =\sqrt[n]{a}* \sqrt[n]{b}`

`\sqrt[3]{81}=\sqrt[3]{27}* \sqrt[3]{3}`

`\sqrt[3]{81}=3 \sqrt[3]{3}`

Hence, the required answer is
`3 \sqrt[3]{3}`.