Вычислите (3√2-√4)²+6√2

Question

Вычислите (3√2-√4)²+6√2

Answer 1

3²*2-6√2+4+6√2=18-6√2*4+4+6√2=22-6√2

Answer 2

(3√2 - √4)(3√2 - √4) + 6√2 = 9√4 - 3√8 - 3√8 + √16 + 6√2 =
= √81×4 - 6√8 + 4 + 6√2 = √324 - 6√8 + 4 + 6√2 = 18 - 6√8 + 4 + 6√2=
= 22 - 6√8 + 6√2 = 22 - 6√4×2 + 6√2 = 22 - 12√2 + 6√2 = 22 - 6√2  = 2(11 - 3√2)