计算下列各题:
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(1)(√2 - 2)(√2 + 2)
= (√2)² - 2 ²
= 2 - 4
= - 2
(2)(√2 - √(1 / 2))²
= (√2)² - 2√(2 × 1 / 2) + (√(1 / 2))²
= 2 + 2√1 + 1 / 2
= 5 / 2 + 2
= 9 / 2
(3)(√2 + √3)(√2 - √3)
= (√2)² - (√3)²
= 2 - 3
= - 1
(4)(√5 + 3√2)²
= (√5)² + 2 × 3√(5 × 2) + (3 √2)²
= 5 + 6√10 + 9 × 2
= 5 + 6√10 + 18
= 23 + 6√10
= (√2)² - 2 ²
= 2 - 4
= - 2
(2)(√2 - √(1 / 2))²
= (√2)² - 2√(2 × 1 / 2) + (√(1 / 2))²
= 2 + 2√1 + 1 / 2
= 5 / 2 + 2
= 9 / 2
(3)(√2 + √3)(√2 - √3)
= (√2)² - (√3)²
= 2 - 3
= - 1
(4)(√5 + 3√2)²
= (√5)² + 2 × 3√(5 × 2) + (3 √2)²
= 5 + 6√10 + 9 × 2
= 5 + 6√10 + 18
= 23 + 6√10
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