Respuesta :

Answer:

[tex]x\sqrt{7} - 49\sqrt{x}[/tex]

Step-by-step explanation:

We have to simplify the following expression: [tex]\sqrt{7x}(\sqrt{x} - 7\sqrt{7})[/tex]

Using distributive property:

[tex]\sqrt{7x}(\sqrt{x} - 7\sqrt{7}) = \sqrt{7x}\sqrt{x} - 7\sqrt{7}\sqrt{7x}[/tex]

⇒ [tex]x\sqrt{7} - 49\sqrt{x}[/tex]

So the most simplified form of the expression is the following: [tex]x\sqrt{7} - 49\sqrt{x}[/tex]