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

Answer:

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

Step-by-step explanation:

Consider the provided information.

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

$\sqrt[3]{81}=\sqrt[3]{27\times 3}$

Use the property: $\sqrt[n]{ab} =\sqrt[n]{a}\times \sqrt[n]{b}$

$\sqrt[3]{81}=\sqrt[3]{27}\times \sqrt[3]{3}$

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

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