parveenb688 parveenb688
  • 14-05-2022
  • Mathematics
contestada

4 + root 3 / 4 - root 3​

Respuesta :

Аноним Аноним
  • 14-05-2022

Answer:

[tex]\frac{19+8\sqrt{3} }{13}[/tex]

Step-by-step explanation:

Given :

  • [tex]\frac{4+\sqrt{3} }{4-\sqrt{3} }[/tex]

Multiply using the reciprocal :

  • [tex]\frac{4+\sqrt{3}(4+\sqrt{3}) }{4-\sqrt{3}(4+\sqrt{3}) }[/tex]
  • [tex]\frac{16+8\sqrt{3}+3 }{16-3}[/tex]

Simplify numerator and denominator :

  • [tex]\frac{19+8\sqrt{3} }{13}[/tex]

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