Simplify cube root of 8x^3

Problem

√(3,8*x^3)

Solution

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

√(3,8⋅x^3)=√(3,8)⋅√(3,x^3)

2. Evaluate the cube root of the constant 8 by identifying that 2^3=8

√(3,8)=2

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

√(3,x^3)=x

4. Multiply the results together to find the simplified expression.

2⋅x=2*x

Final Answer

√(3,8*x^3)=2*x

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