Evaluate cube root of -1

Problem

√(3,−1)

Solution

1. Identify the expression as the cube root of a negative number.

2. Recall that for any real number a the cube root √(3,a) is the number x such that x3=a

3. Determine the value that, when multiplied by itself three times, equals −1

4. Calculate the result using the property (−1)×(−1)×(−1)=−1

Final Answer

√(3,−1)=−1

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