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]