Evaluate square root of 38

Problem

√(,38)

Solution

1. Identify the number under the radical, which is 38

2. Determine if the number is a perfect square. Since 6=36 and 7=49 38 is not a perfect square.

3. Check for prime factors to see if the radical can be simplified. The prime factorization of 38 is 2×19

4. Conclude that since there are no repeating prime factors, the square root cannot be simplified into a simpler radical form.

5. Estimate the decimal value if needed. Since 38 is slightly larger than 36 √(,38) is approximately 6.164

Final Answer

√(,38)=√(,38)

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