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= √3 (√21)
= √63
= √9 × √7
= 3√7
2 (√2 + 4√3)(√2 - 4√3)
= √2 × 4√3 - √2 × √2 + 4√3 × 4√3 - 4√3 × √2
= 4√6 - √4 + 16√9 - 4√6
= 4√6 - 2 + 4√9 - 4√6
= 2 + 4√9
3 (3 - 2√3)²
= (3 - 2√3)(3 - 2√3)
= 3(3 - 2√3) + 2√3(3 - 2√3)
= 9 - 6√3 + 6√3 - 4√9
= 9 - 4√9