Evaluate cube root of 125

Problem

√(3,125)

Solution

1. Identify the number whose cube root is being calculated, which is 125

2. Find the prime factorization of the number to see if it is a perfect cube.

125=5⋅25

125=5⋅5⋅5

125=5

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

√(3,5)=5

Final Answer

√(3,125)=5

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