[tex] \frac{10}{ \sqrt{24x} } =\frac{10}{ \sqrt{24x} } * \frac{ \sqrt{24x} }{\sqrt{24x}} [/tex] because
[tex]\frac{ \sqrt{24x} }{\sqrt{24x}} =1[/tex] and the expression has the same value when multiplied by 1.
Multiply the terms:
[tex]\frac{10}{ \sqrt{24x} } * \frac{ \sqrt{24x} }{\sqrt{24x}} =\frac{ 10\sqrt{24x} }{24x}[/tex]
Simplify to get the final answer:
[tex]\frac{ 10\sqrt{24x} }{24x}=\frac{ 5\sqrt{24x} }{12x}[/tex]