Evaluate square root of 15

Problem

√(,15)

Solution

1. Identify the number under the radical, which is 15

2. Factor the number into its prime factors to see if any perfect squares can be removed.

15=3×5

3. Determine if the expression can be simplified further. Since neither 3 nor 5 are perfect squares and there are no repeating factors, the square root cannot be simplified into a simpler radical form.

4. Approximate the value if a decimal is required. Since 3=9 and 4=16 the value is slightly less than 4

√(,15)≈3.87298

Final Answer

√(,15)=√(,15)

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