Evaluate fourth root of 1

Problem

√(4,1)

Solution

1. Identify the expression as the principal fourth root of the number 1

2. Recall the definition of a fourth root, which is a number x such that x4=1

3. Determine the principal real value that, when raised to the power of 4 equals 1

4. Calculate the result, noting that 1=1⋅1⋅1⋅1=1

Final Answer

√(4,1)=1

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