Answer:
A
Step-by-step explanation:
Multiply:
[tex](\frac{5}{5+\sqrt{10x} } )(\frac{5+\sqrt{10x} }{5+\sqrt{10x} } )[/tex]
Simplify:
[tex]\frac{5(5-\sqrt{10x}) }{(5+\sqrt{10x})(5-\sqrt{10x} ) }[/tex]
Factor:
[tex]\frac{5(5-\sqrt{10x}) }{25-10x}[/tex]
Reduce:
[tex]\frac{5(5-\sqrt{10x}) }{5(5-2x)}[/tex]
Solution:
[tex]\frac{5-\sqrt{10x} }{5-2x}[/tex]
