Itroll51231
Itroll51231 Itroll51231
  • 24-06-2021
  • Mathematics
contestada

Rationalize the denominator and simplily.​

Rationalize the denominator and simplily class=

Respuesta :

Аноним Аноним
  • 24-06-2021

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

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devishri1977
devishri1977 devishri1977
  • 24-06-2021

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

[tex]\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\[/tex]

             [tex]=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}[/tex]

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