ujyj
ujyj ujyj
  • 11-01-2018
  • Mathematics
contestada

Which expression is equivalent to ? Assume x > 0

Which expression is equivalent to Assume x gt 0 class=

Respuesta :

Zoey04 Zoey04
  • 11-01-2018
The answer is the last one,

[tex] \frac{ \sqrt[2]{2} }{ {x}^{3} } [/tex]
Answer Link
lisboa lisboa
  • 15-05-2019

Answer:

[tex]\frac{2\sqrt{2}}{x^3}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{8}{x^6} }[/tex]

Take square root for top and bottom separately

[tex]\frac{\sqrt{8} }{\sqrt{x^6} }[/tex]

square root (8) = [tex]\sqrt{4*2}=2\sqrt{2}[/tex]

[tex]\sqrt{x^6} =x^3[/tex]

[tex]\frac{\sqrt{8}}{\sqrt{x^6}}=\frac{2\sqrt{2}}{x^3}[/tex]

[tex]\frac{2\sqrt{2}}{x^3}[/tex]

Answer Link

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