Evaluate cube root of 18

Problem

√(3,18)

Solution

1. Identify the number under the radical, which is 18

2. Factor the number into its prime factors to see if there are any perfect cubes.

18=2⋅3⋅3

3. Determine if any factors appear three times. Since the prime factorization is 2⋅3 there are no sets of three identical factors.

4. Conclude that the expression cannot be simplified further in radical form.

5. Approximate the value using a calculator if a decimal representation is required.

√(3,18)≈2.62074139

Final Answer

√(3,18)≈2.6207

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