Evaluate square root of 324

Problem

√(,324)

Solution

1. Identify the number under the radical, which is 324

2. Determine if the number is a perfect square by looking at its prime factorization or testing integers.

3. Factor the number into its prime components: 324=2×162=2×2×81=2^2×9^2

4. Apply the property of square roots √(,a^2×b^2)=a×b

5. Calculate the result: √(,2^2×9^2)=2×9=18

Final Answer

√(,324)=18

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