Discussion

Explanation:

Given, x = 3 + √8 and x × y = 1

⇒ y = $\frac{1}{3+\sqrt{8}}$ = $\frac{1}{3+\sqrt{8}}\times \frac{3-\sqrt{8}}{3-\sqrt{8}}$ = 3 - √8

∴ x² – xy + y² = x² – 2xy + y² + xy

= (x - y)² + xy

= (2√8)² + 1

= 32 + 1 = 33

Hence, 33.

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