Oblicz:
(7√18 - √8 - 2√200)²
= [7√(9*2) - √(4*2) - 2√(100*2)]² =
= (7*√9*√2 - √4*√2 - 2*√100*√2)² =
= (7*3√2 - 2√2 - 2*10√2)² =
= (21√2 - 2√2 - 20√2)² =
= (-√2)² =
= 2
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(7√18 - √8 - 2√200)²
= [7√(9*2) - √(4*2) - 2√(100*2)]² =
= (7*√9*√2 - √4*√2 - 2*√100*√2)² =
= (7*3√2 - 2√2 - 2*10√2)² =
= (21√2 - 2√2 - 20√2)² =
= (-√2)² =
= 2