Simplify cube root of 64

Problem

√(3,64)

Solution

1. Identify the number inside the radical, which is 64

2. Determine the prime factorization of 64 to see if it can be written as a power of 3

3. Rewrite the number as a base raised to an exponent:

64=4×4×4

64=4

4. Apply the property of radicals where √(n,xn)=x

√(3,4)=4

Final Answer

√(3,64)=4

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