Simplify: StartRoot 324 EndRoot
1. Write the prime factorization of the radicand.
StartRoot 324 EndRoot = StartRoot 2 times 2 times 3 times 3 times 3 times 3 EndRoot
2. Apply the product property of square roots. Write the radicand as a product, forming as many perfect square roots as possible.
StartRoot 2 times 2 times 3 times 3 times 3 times 3 EndRoot = StartRoot 2 squared EndRoot times StartRoot 3 squared EndRoot times StartRoot 3 squared EndRoot
3. Simplify.
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