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Step-by-step explanation:
x = √3+√2/√3-√2
= √3+√2/√3-√2 × √3+√2/√3+√2
= (√3+√2)²/(√3)²-(√2)²
= (√3)²+2×√3×√2+(√2)²/3-2
= 3+2√6+2/1
= 5+2√6
therefore, x = 5+2√6.
i) x²+1/x² = (x+1/x)² - 2x×1/x
={(5+2√6)+1/(5+2√6)}² - 2×(5+2√6)×1/. (5+2√6).
now, solve this equation and you'll get the answer.
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