Answer:
[tex]\frac{\sqrt{x} }{2x}[/tex]
Step-by-step explanation:
Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)
[tex]\frac{\sqrt{5x} }{x\sqrt{20} } *\frac{\sqrt{20} }{\sqrt{20} } =\frac{\sqrt{100x} }{20x}[/tex]
Now simplify by taking the square root of 100 to get:
[tex]\frac{10\sqrt{x} }{20x}[/tex]
Divide numerator and denomiator by 10 to get:
[tex]\frac{\sqrt{x} }{2x}[/tex]
