Evaluate cube root of 2

Problem

√(3,2)

Solution

1. Identify the expression as the cube root of the number 2 which is the value x such that x3=2

2. Recognize that 2 is not a perfect cube, meaning its cube root is an irrational number.

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

4. Calculate the value to several decimal places, noting that 1.25=1.953125 and 1.26=2.000376

Final Answer

√(3,2)≈1.259921

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