akar

Jika x = 3√2 - 5√3 dan y = √2 + 5√3, tentukan nilai dari x² - y²


 Jawaban:
x = (3V2 - 5V3)
y = (V2 + 5V3)

Nilai x'2
(3V2 - 5V3)(3V2 - 5V3)
= 9.2 - 15V6 - 15V6 + 25.3
= 18 - 30V6 + 75
= 18+75 - 30V6
= 93 - 30V6

nilai y'2
(V2 + 5V3)(V2 + 5V3)
= 2 + 5V6 + 5V6 + 25.3
= 2 + 10V6 + 75
= 2+75 + 10V6
= 77 + 10V6

Jadi nilai dari x'2 - y'2
= (93 - 30V6) - (77 + 10V6)
= 93 - 30V6 - 77 - 10V6
= 93-77 - 30V6 - 10V6
= 16 - 40V6
= 8 (2 - 5V6)

Keterangan,
' = pangkat
V = akar