Calculate the square root of 38

Problem

√(,38)

Solution

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

2. Check for perfect square factors by listing the prime factorization of 38

3. Factor the number into its prime components: 38=2×19

4. Determine if any factors can be removed from the radical. Since both 2 and 19 are prime and appear only once, the expression cannot be simplified further into a simpler radical form.

5. Estimate the decimal value if needed. Since 6=36 and 7=49 the value is slightly greater than 6

Final Answer

√(,38)=√(,38)

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