Evaluate cube root of -8.6

Problem

√(3,−8.6)

Solution

1. Identify the expression as the cube root of a negative number. Since the index of the root is odd, the result will be a real negative number.

2. Apply the property of radicals √(3,−x)=−√(3,x) to move the negative sign outside the radical.

3. Calculate the numerical value of √(3,8.6) using a calculator or numerical methods.

4. Approximate the value to a reasonable number of decimal places.

Final Answer

√(3,−8.6)≈−2.0488

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