Evaluate fifth root of 6666

Problem

√(5,6666)

Solution

1. Identify the expression as the fifth root of the number 6666 which can be written as 6666(1/5)

2. Estimate the value by looking for nearby fifth powers. We know 5=3125 and 6=7776

3. Determine that the value must lie between 5 and 6 since 3125<6666<7776

4. Calculate the decimal approximation using a calculator or numerical methods (like Newton's method).

5. Round the result to a reasonable number of decimal places.

Final Answer

√(5,6666)≈5.8214

Want more problems? Check here!