Evaluate cube root of 4

Problem

√(3,4)

Solution

1. Identify the expression as the cube root of the number 4, which is written as √(3,4) or 4(1/3)

2. Determine if the radicand is a perfect cube. Since 1=1 and 2=8 the number 4 is not a perfect cube.

3. Simplify the radical. The prime factorization of 4 is 2 Since there are no factors with an exponent of 3 or greater, the expression cannot be simplified further in radical form.

4. Approximate the value using a calculator if a decimal representation is required. √(3,4)≈1.587401

Final Answer

√(3,4)=√(3,4)

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