Evaluate cube root of 56

Problem

√(3,56)

Solution

1. Identify the prime factorization of the number inside the radical.

56=8×7

56=2×7

2. Apply the property of radicals that allows the separation of factors under the same root.

√(3,2×7)=√(3,2)×√(3,7)

3. Simplify the cube root of the perfect cube.

√(3,2)=2

4. Combine the simplified coefficient with the remaining radical.

2×√(3,7)=2√(3,7)

Final Answer

√(3,56)=2√(3,7)

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