Evaluate cube root of 12

Problem

√(3,12)

Solution

1. Identify the number whose cube root is to be found. The number is 12

2. Determine if 12 is a perfect cube. The nearest perfect cubes are 2=8 and 3=27 Since 12 is not a perfect cube, its cube root is an irrational number.

3. Check for perfect cube factors. The factors of 12 are 1, 2, 3, 4, 6, 12.N*o*n*e*o*ƒ*t*h*e*s(e)*ƒ*a*c*t*o*r*s*(o*t*h*e*r*t*h*a*n)$) are perfect cubes, so the expression cannot be simplified further in radical form.

4. Approximate the value using a calculator or numerical methods.

√(3,12)≈2.289428485

Final Answer

√(3,12)≈2.2894

Want more problems? Check here!