Question

2√6-3√3/(1-√2)^2
Упростить выражение

Answer 1

2√6-3√3 / (1-√2)^2 = 2√6-3√3 / 1-2√2 + 2 = 2√6-3√3 / 3-2√2 =

= (2√6 - 3√3) * (3+2√2) / (3-2√2) * (3+2√2) =

= (2√6 - 3√3) * (3+2√2) / 9 - 4 * 2 = (2√6 - 3√3) * (3+2√2) / 1 =

(2√6 - 3√3) * (3+2√2) = 6√6 + 4√12 - 9√3 - 6√6 = 8√3 - 9√3 = -√3