Question

(√2+√3-√6)^2 - (√2-√3+√6)^2=

Tolong ya kak, pusing banget saya. makasii

Answer 1

Jawab:
C.  (4√6)(1-√2)

Penjelasan:
∵ a² - b² = (a+b)(a-b) ∴
(√2+√3-√6)²-(√2-√3+√6)²
= (√2+√3-√6+√2-√3+√6)(√2+√3-√6-(√2-√3+√6))
= (√2+√3-√6+√2-√3+√6)(√2+√3-√6-√2+√3-√6)
= (2√2)(2√3-2√6)
= (2√2)(2√3-2√2√3)
= (2√2)(√3(2-2√2))
= (2√2)(√3(2(1-√2)))
= (2√2)(√3)(2)(1-√2)
= (4√2)(√3)(1-√2)
= (4√6)(1-√2)  (opsi C.)

(xcvi)