Simplify cube root of x^4

Problem

√(3,x4)

Solution

1. Rewrite the radicand by factoring out the largest perfect cube. Since we are dealing with a cube root, we look for powers of 3

√(3,x3⋅x)

2. Apply the product property of radicals, which states that √(n,a⋅b)=√(n,a)⋅√(n,b)

√(3,x3)⋅√(3,x)

3. Simplify the cube root of the perfect cube. The cube root of x3 is x

x⋅√(3,x)

Final Answer

√(3,x4)=x√(3,x)

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