Evaluate cube root of 25

Problem

√(3,25)

Solution

1. Identify the expression as the cube root of the number 25

2. Determine if 25 is a perfect cube by checking the cubes of small integers: 2=8 and 3=27

3. Conclude that since 25 is not a perfect cube, the value is an irrational number.

4. Approximate the value using a calculator if a decimal representation is required, or leave it in radical form for an exact value.

5. Calculate the decimal approximation: 25(1/3)≈2.924017738

Final Answer

√(3,25)≈2.924017738

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