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Manipulation of surds
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Expand and simplify (1 - √2)2
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A
3 - 2√2
💡 Explanation:
Expanding (1 - sqrt(2))^2 gives (1 - sqrt(2))(1 - sqrt(2)) = 1 - sqrt(2) - sqrt(2) + (sqrt(2))^2 = 1 - 2sqrt(2) + 2 = 3 - 2sqrt(2).