eyomidesira
eyomidesira eyomidesira
  • 16-03-2020
  • Mathematics
contestada

[tex] \frac{2 \sqrt{3 } - 1}{3 \sqrt{3} - 2} [/tex]
help with surds please ​i need to rationalize the denominator

Respuesta :

Mahin82 Mahin82
  • 16-03-2020

Answer:

[tex]\frac{16 + \sqrt{3} }{23} \\ [/tex]

Step-by-step explanation:

[tex]\frac{2 \sqrt{3 } - 1}{3 \sqrt{3} - 2} \\ \\ \frac{2 \sqrt{3 } - 1}{3 \sqrt{3} - 2} \times \frac{3 \sqrt{3 } + 2}{3 \sqrt{3} + 2} \\ \\ \frac{18 + 4 \sqrt{3} - 3 \sqrt{3} - 2}{27 + 6 \sqrt{3} - 6 \sqrt{3} - 4 } \\ \\ \frac{16 + \sqrt{3} }{23} [/tex]

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ujalakhan18
ujalakhan18 ujalakhan18
  • 16-03-2020

Answer:

(16+√3)/23

Step-by-step explanation:

In the attached file

Ver imagen ujalakhan18
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