Simplify cube root of 27x^3

Problem

√(3,27*x3)

Solution

1. Apply the product property of radicals to separate the constant and the variable under the cube root.

√(3,27⋅x3)=√(3,27)⋅√(3,x3)

2. Evaluate the cube root of the constant by identifying that 3=27

√(3,27)=3

3. Evaluate the cube root of the variable by identifying that the cube root and the exponent of 3 cancel each other out.

√(3,x3)=x

4. Multiply the results to find the simplified expression.

3⋅x=3*x

Final Answer

√(3,27*x3)=3*x

Want more problems? Check here!