Evaluate square root of 576

Problem

√(,576)

Solution

1. Identify the number under the radical, which is 576

2. Factor the number into its prime factors to find perfect squares.

3. Determine the prime factorization: 576=2×288=2×144=2×12

4. Simplify the expression by taking the square root of the factors.

5. Calculate the final product: √(,2×12)=2×12=24

Final Answer

√(,576)=24

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