2 / (3 + √(3 - 2√2)) = 2 / (3 + √(2 - 2√2 + 1)) = 2/(3 + √(√2² - 2*1*√2 + 1²)) = 2/(3 + √(√2 - 1)²) = 2/(3 + √2 - 1) = 2/(√2 + 2) = 2/(√2 + 2) *(2 - √2)/(2 - √2) = 2(2 - √2)/(2² - √2²) = 2(2 - √2)/2 = (2 - √2)
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2 / (3 + √(3 - 2√2)) = 2 / (3 + √(2 - 2√2 + 1)) = 2/(3 + √(√2² - 2*1*√2 + 1²)) = 2/(3 + √(√2 - 1)²) = 2/(3 + √2 - 1) = 2/(√2 + 2) = 2/(√2 + 2) *(2 - √2)/(2 - √2) = 2(2 - √2)/(2² - √2²) = 2(2 - √2)/2 = (2 - √2)