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Verified answer
1][(√2 + √3)³
= (√2)³ + 3(√2)²(√3) + 3(√2)(√3)² + (√3)³
= 2√2 + 6√3 + 9√2 + 3√3
= 11√2 + 9√3
2][
(√3 - √2)⁴
= (√3)⁴ - 4(√3)³(√2) + 6(√3)²(√2)² - 4(√3)(√2)³ + (√2)⁴
= 9 - 12√6 + 36 - 8√6 + 4
= 49 - 20√6