Math, asked by Cr4cker7, 9 months ago

The one who solves will be marked as the brainliest

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Answered by raj5422724
2

Answer:given =) x = 3+√8

To find= x² + 1/x²

= (3+√8)²+1/(3+√8)²

= {(3)² + (√8)² + 2(3)(√8)} +1/{(3)² + (√8)² + 2(3)(√8)}

= {9+8+6√8}+1/{9+8+6√8}

= 23√8+1/23√8

= 23√8/1+1/23√8[LCM OF DENOMINATOR IS 23√8]

= (23√8*23√8)+1/23√8[simplifying]

= 23*23*8+1/23√8

= 4233/23√8 [multiplying by √8/√8]

= 4233√8/23

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