Simplify

To simplify the given expression, let's break it down step by step.

First, let's simplify the numerator of the fraction: 5^(1/3)

To find the cube root of 5, you can raise 5 to the power of 1/3. So, 5^(1/3) is equal to the cube root of 5.

Next, let's simplify the denominator of the fraction: 2(3)^(1/2) - 2^(1/2)

First, let's simplify 3^(1/2). To find the square root of 3, you can raise 3 to the power of 1/2. So, 3^(1/2) is equal to the square root of 3.

Now, let's put it all together:

5^(1/3) / 2(3)^(1/2) - 2^(1/2)

= ∛5 / (2√3 - √2)

At this point, there is no further simplification possible using basic algebraic techniques. So, there you have it, the simplified form of the expression is ∛5 / (2√3 - √2).