Evaluate sixth root of 64

Problem

√(6,64)

Solution

1. Identify the expression as a radical where we need to find a number that, when multiplied by itself six times, equals 64.

2. Rewrite the radicand 64 as a power of a prime number.

3. Observe that 2×2×2×2×2×2=64

4. Substitute the power into the radical expression.

64=2

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

√(6,2)=2

Final Answer

√(6,64)=2

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