oblicz: (sqrt2-sqrt3)^2-(2sqrt3+sqrt2)^2
oblicz:
(sqrt2-sqrt3)^2-(2sqrt3+sqrt2)^2
(√2-√3)²-(2√3+√2)²= (√2)² - 2 *√2*√3 + (√3)² - [ (2√3)² + 2*2√3*√2 + (√2)² ] = 2 - 2√6 + 3 - [ 12 + 4√6 + 2 ] = 2 - 2√6 + 3 - 12 - 4√6 - 2 = -6√6 - 9 = -3(2√6 + 3)
(√2 -√3)² - (2√3 +√2)² =(2 -2√6 +3) -(12 -4√6 +2) = =5 -2√6 -14 + 4√6 = -9 +2√6