Evaluate - fourth root of 81

Problem

√(4,81)

Solution

1. Identify the number whose fourth power equals the radicand 81

2. Factor the number 81 into its prime factors to see the powers more clearly.

81=3×3×3×3

3. Rewrite the expression using exponents to simplify the radical.

81=3

4. Apply the property of radicals √(n,an)=a for a≥0

√(4,3)=3

Final Answer

√(4,81)=3

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