Evaluate fourth root of 81

Problem

√(4,81)

Solution

1. Identify the expression as the fourth root of the number 81 which is written as √(4,81) or 81(1/4)

2. Find a number that, when multiplied by itself four times, equals 81

3. Test small integers by raising them to the fourth power.

4. Calculate 3 to verify the result.

3×3×3×3=81

5. Conclude that since 3=81 the fourth root of 81 is 3

Final Answer

√(4,81)=3

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