Evaluate square root of 58

Problem

√(,58)

Solution

1. Identify the number under the radical, which is 58

2. Determine if 58 is a perfect square. Since 7=49 and 8=64 the square root is not an integer.

3. Factor the number to see if it can be simplified. The prime factorization of 58 is 2×29

4. Conclude that since there are no perfect square factors other than 1 the radical cannot be simplified further in exact form.

5. Approximate the value using a calculator if a decimal is required. √(,58)≈7.61577

Final Answer

√(,58)=√(,58)

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