Respuesta :
The simplified expression, we can see that the product of the radical function is [tex]-30 \sqrt{2x^5}\\[/tex]
Radical functions
Given the radical function
- [tex]2\sqrt{5x^3}(-3\sqrt{10x^2} )[/tex]
Take the product of the function
This can be simplified as shown:
[tex]=2(-3)\sqrt{5(10)} \times \sqrt{x^3\cdot x^2}\\ =-6\sqrt{50}\cdot \sqrt{x^5}\\= -6(5)\sqrt{2} \sqrt{x^5}\\=-30\sqrt{2x^5}[/tex]
From the simplified expression, we can see that the product of the radical function is [tex]-30 \sqrt{2x^5}\\[/tex]
Learn more on product of radical function here: https://brainly.com/question/8952483