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Evaluate - cube root of 64

Problem

√(3,64)

Solution

  1. Identify the number whose cube is 64.

  2. Factor the number 64 into its prime factors to see the structure of the cube.

64=4×4×4

  1. Apply the definition of a cube root, which states that √(3,x3)=x

√(3,4)=4

Final Answer

√(3,64)=4


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