Respuesta :
The product of the radical functions is [tex]720\sqrt{7}[/tex]
Given the radical expression;
- [tex](2\sqrt{7} \cdot 3\sqrt{6})(5\sqrt{2} \cdot 4\sqrt{3} )[/tex]
This can be simplified using the distribution law given as:
- [tex](2\sqrt{7} \cdot 3\sqrt{6} )(20\sqrt{6} )[/tex]
This can further be simplified as:
[tex]2\sqrt{7}(3\sqrt{6} \cdot 20 \sqrt {6})\\2\sqrt{7} (60(\sqrt{36} ))\\2\sqrt{7} (60(6))\\2\sqrt{7}(360)\\720\sqrt{7}[/tex]
Hence the product of the radical functions is [tex]720\sqrt{7}[/tex]
Learn more on radical function here: https://brainly.com/question/8952483