What is the following product? (2 StartRoot 7 EndRoot 3 StartRoot 6 EndRoot) (5 StartRoot 2 EndRoot 4 StartRoot 3 EndRoot) 6 StartRoot 10 EndRoot 16 StartRoot 2 EndRoot 42 8 StartRoot 10 EndRoot 30 StartRoot 2 EndRoot 66 7 StartRoot 14 EndRoot 6 StartRoot 21 EndRoot 16 StartRoot 3 EndRoot 21 StartRoot 2 EndRoot 10 StartRoot 14 EndRoot 8 StartRoot 21 EndRoot 30 StartRoot 3 EndRoot 36 StartRoot 2 EndRoot.

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

Answer:

The correct answer is D!

Step-by-step explanation: