Math, asked by anilkumar221886, 1 month ago

if x is equals to 3 + root 8 find the value of x raise to 2 + 1 upon X raise to 2​

Answers

Answered by Kakashi369
1

Answer:

18+6√8

Step-by-step explanation:

x=3+\sqrt{8}  (given)

\frac{x^{2} +1}{x^{2} }=?

  • x²=(3+√8)²
  • =9+8+6√8
  • =17+6√8

\frac{x^{2} +1}{x^{2} }=(17+6√8+1)/17+6√8

  • = (18+6√8)/(17+6√8) × (17-6√8)/(17-6√8)

                                                            [Rationalizing the denominator]

  • = (306+6√8-288)/(289-288)
  • = (18+6√8)/1
  • = 18+6√8

Hope it helps...

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