How do I solve this?

(2x^1/2) * (6x^2 - x^1/2)

Here it is in words to make the equation clearer
(two x to the one half power) multiplied by (6x squared minus x to the one half power)

To solve this equation, you need to simplify the expression by multiplying and simplifying the terms.

First, let's distribute the first term, which is (2x^(1/2)), over the second term, (6x^2 - x^(1/2)).

Multiply (2x^(1/2)) with 6x^2:

(2x^(1/2)) * (6x^2) = 12x^(1/2) * x^2 = 12x^(1/2 + 2) = 12x^(5/2)

Next, multiply (2x^(1/2)) with -x^(1/2):

(2x^(1/2)) * (-x^(1/2)) = -2(x^(1/2))^2 = -2x^((1/2) + (1/2)) = -2x^1 = -2x

Now, we can combine the two terms that we obtained:

12x^(5/2) - 2x

Thus, the simplified expression is:

12x^(5/2) - 2x