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Solve for aa. Express your answer in simplest radical form if necessary.

Solve for aa. Express your answer in simplest radical form if necessary.-example-1
User Pkr
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1 Answer

5 votes

Given
\(a = (\sqrt[3]{91})^3\), cubing the cube root of 91
(\(\sqrt[3]{91^3}\))\\ results in

\(\sqrt[3]{729}\), which simplifies to 9. Therefore, the final answer is a = 9.

Let's break down the calculation step by step:

Given
\(a = (\sqrt[3]{91})^3\):

1. Cube the Cube Root of 91:


\[a = (\sqrt[3]{91})^3 = \sqrt[3]{91^3}\]\\

2. Evaluate the Cube:


\[\sqrt[3]{91^3} = \sqrt[3]{729}\]

3. Determine the Cube Root:


\[\sqrt[3]{729} = 9\]

Therefore, the solution to a is a = 9. Each step involves basic operations, starting with cubing the cube root and simplifying until we arrive at the final result, which is 9.

User Mcstrother
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