1.

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→ (√3 - 1) ÷ (√3 + 1)

→ (√3 - 1) ÷ (√3 + 1) = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 + 1)

→ (√3 - 1) ÷ (√3 + 1) = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 + 1)= (√3 - 1)²/(√3)² - (1)²

→ (√3 - 1) ÷ (√3 + 1) = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 + 1)= (√3 - 1)²/(√3)² - (1)²= (3 - 2√3 + 1)/(3 - 1)

→ (√3 - 1) ÷ (√3 + 1) = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 + 1)= (√3 - 1)²/(√3)² - (1)²= (3 - 2√3 + 1)/(3 - 1)= (4 - 2√3)/(2)

→ (√3 - 1) ÷ (√3 + 1) = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 + 1)= (√3 - 1)²/(√3)² - (1)²= (3 - 2√3 + 1)/(3 - 1)= (4 - 2√3)/(2)= 2(2 - √3)/(2)

→ (√3 - 1) ÷ (√3 + 1) = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 + 1)= (√3 - 1)²/(√3)² - (1)²= (3 - 2√3 + 1)/(3 - 1)= (4 - 2√3)/(2)= 2(2 - √3)/(2)= (2 - √3)

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