Question

Найдите значение выражения
(3-√2)(5+√2)-(√2-1)²

Answer 1

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$(3 - \sqrt{2} )(5 + \sqrt{2} ) - ( \sqrt{2 } -1 )^{2} = \\ \\ = 15 + 3 \sqrt{2} - 5 \sqrt{2} - 2 - (2 - 2 \sqrt{2} + 1) = \\ \\ = 15 + 3 \sqrt{2} - 5 \sqrt{2} - 2 - 3 + 2 \sqrt{2} = 10$
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Готово™

Answer 2

(3-√2)(5+√2)-(√2-1)²=15+3√2-5√2-2-(2-2√2+1)

=13-2√2-3+2√2=10