[tex] \frac{2 – \sqrt{5} }{2 + \sqrt{5} } = a \sqrt{5 } + b[/tex]
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2 thoughts on “<br />[tex] \frac{2 – \sqrt{5} }{2 + \sqrt{5} } = a \sqrt{5 } + b[/tex]<br />​”

1. Answer:

   a = (-4) and b = (-9)

   Step-by-step explanation:

   (2-√5)/(2+√5) × (2-√5)/(2-√5)

   (2-√5)²/(2-√5)(2+√5)

   (2)²+(√5)²+2(2)(√5)/(2)²-(√5)²

   4+5+4√5/4-5

   9+4√5/(-1)

   => (-9-4√5)

   comparing with a√5+b,

   -4√5-9 = a√5+b

   -4√5+(-9) = a√5+b

   now, a = (-4) and b = (-9).

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2. Answer:

   Gudvali Môrñíñg have a nice day Keep smiling stay blessed cutie love u buddy

   Reply