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The problem asks us to reduce the radical $\sqrt{243}$ step by step. The first step has already been done: $\sqrt{243} = \sqrt{81} \cdot \sqrt{3}$. We need to simplify $\sqrt{81} \cdot \sqrt{3}$.

ArithmeticRadicalsSimplificationSquare Roots
2025/3/22

1. Problem Description

The problem asks us to reduce the radical 243\sqrt{243} step by step. The first step has already been done: 243=81⋅3\sqrt{243} = \sqrt{81} \cdot \sqrt{3}. We need to simplify 81⋅3\sqrt{81} \cdot \sqrt{3}.

2. Solution Steps

We know that 81=9\sqrt{81} = 9. Therefore,
243=81⋅3=93\sqrt{243} = \sqrt{81} \cdot \sqrt{3} = 9\sqrt{3}.

3. Final Answer

939\sqrt{3}

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