Question

Найдите значение выражения (6 - 4√2) / (√2 - 1) - 2√2

Answer 1

$frac{6-4 sqrt{2} - (2 sqrt{2}*( sqrt{2} -1) )}{ sqrt{2} - 1} = frac{6-4 sqrt{2} - 4 + 2 sqrt{2} }{ sqrt{2} - 1} = frac{2-2 sqrt{2} }{ sqrt{2} - 1} = -frac{2( sqrt{2}-1 )}{sqrt{2}-1 } = -2$