Evaluate cube root of 7

Problem

√(3,7)

Solution

1. Identify the expression as the principal real cube root of the number 7.

2. Determine if 7 is a perfect cube. Since 1^3=1 and 2^3=8 the value of √(3,7) is an irrational number between 1 and 2.

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

4. Calculate the decimal value to several places, which is approximately 1.912931

Final Answer

√(3,7)≈1.912931

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