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Simplify cube root of 8

Problem

√(3,8)

Solution

  1. Identify the number inside the radical, which is 8

  2. Factor the number into its prime components to find a perfect cube.

8=2⋅2⋅2

8=2

  1. Apply the property of radicals where √(n,xn)=x for any positive integer n

√(3,2)=2

Final Answer

√(3,8)=2


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