To find the difference of the expression 6z√/14x - 5√56x³ in simplest radical form, we need to perform the following steps:
Step 1: Simplify the expressions inside the square roots, if possible.
√56 = √(2^3 * 7) = 2√7
Step 2: Combine like terms.
The expression becomes: 6z√/14x - 5 * 2√7 * √x³
Step 3: Simplify further.
√x³ = √(x^2 * x) = x√x
The expression becomes: 6z√/14x - 10x√7
The difference of the expression is 6z√/14x - 10x√7.