KitKat8080 KitKat8080
  • 11-10-2019
  • Mathematics
contestada

Simplify each expression as much as possible, and rationalize denominators when applicable. √18x/(3√x^5)=?

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sqdancefan
sqdancefan sqdancefan
  • 11-10-2019

Answer:

  (√2)/x²

Step-by-step explanation:

[tex]\dfrac{\sqrt{18x}}{3\sqrt{x^5}}=\sqrt{\dfrac{18x}{9x^5}}=\sqrt{\dfrac{2}{x^4}}=\dfrac{\sqrt{2}}{x^2}[/tex]

_____

Or, maybe you mean ...

[tex]\dfrac{\sqrt{18}x}{3\sqrt{x^5}}=\sqrt{\dfrac{18x^2}{9x^5}}=\sqrt{\dfrac{2x}{x^4}}=\dfrac{\sqrt{2x}}{x^2}[/tex]

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