mohkfry mohkfry
  • 24-07-2017
  • Mathematics
contestada

Rationalize the denominator.

10/√24x

write it in simplest form

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Christinecoconnor
Christinecoconnor Christinecoconnor
  • 24-07-2017
[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]

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