Jika x = 2+akar 3 dan y = 3- akar 2 maka x² + y² - 2xy =...

Jika x = 2+akar 3 dan y = 3- akar 2 maka x² + y² – 2xy =…

Jawaban Terkonfirmasi

X = 2 + $sqrt{3}$
y = 3 – $sqrt{2}$
$x^{2}$ + $y^{2}$ – 2xy = $(2 + sqrt{3})^{2}$ + $(3 - sqrt{2})^{2}$ – 2((2 + $sqrt{3}$ ) x (3 – $sqrt{2}$ )) = (4 + 4 $sqrt{3}$ + 3) + (9 – 6 $sqrt{2}$ + 2) – 2(6 – 2 $sqrt{2}$ + 3 $sqrt{3}$ – $sqrt{6}$ ) = 18 + 4 $sqrt{3}$ – 6 $sqrt{2}$ – 12 + 4 $sqrt{2}$ – 6 $sqrt{3}$ + 2 $sqrt{6}$ = 6 – 2 $sqrt{3}$ – 2 $sqrt{2}$ + 2 $sqrt{6}$

X^2+y^2-2xy=(x-y)(x-y)=(2+akar3-(3-akar 2))^2=(-1+akar3+akar2)^2 hasilnya adalah 6+2(-akar2-akar3+akar6)