Evaluate cube root of 5

Problem

√(3,5)

Solution

1. Identify the expression as the cube root of the number 5, which is written as √(3,5) or 5

2. Recognize that 5 is a prime number and not a perfect cube (like 1, 8, or 27), so the result will be an irrational number.

3. Approximate the value using numerical methods or a calculator to find the decimal expansion.

4. Calculate the value to several decimal places: 1.70997594668...

Final Answer

√(3,5)≈1.709976

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