Evaluate cube root of 6

Problem

√(3,6)

Solution

1. Identify the expression as the cube root of the number 6, which is written as 6^(1/3)

2. Determine if 6 is a perfect cube. Since 1^3=1 and 2^3=8 the value of √(3,6) is an irrational number between 1 and 2.

3. Approximate the value using numerical methods or a calculator. To three decimal places, 1.817^3≈5.999 and 1.818^3≈6.009

4. Provide the decimal approximation for practical use.

Final Answer

√(3,6)≈1.81712

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