Evaluate square root of 243

Problem

√(,243)

Solution

1. Identify the number under the radical and look for perfect square factors.

2. Factor the number 243 into its prime components or a product involving a perfect square.

243=81×3

3. Apply the product property of square roots, which states √(,a×b)=√(,a)×√(,b)

√(,243)=√(,81×3)

√(,243)=√(,81)×√(,3)

4. Simplify the square root of the perfect square 81

√(,81)=9

5. Combine the results to find the simplified radical form.

√(,243)=9√(,3)

Final Answer

√(,243)=9√(,3)

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