(5√2-2)(√6-3√2) (3√6+√2)(√6-3√2)

Jawaban:

10√3 – 2√6 – 30 + 6√2

12 – 16√3

Penjelasan dengan langkah-langkah:

(5√2-2)(√6-3√2)

= 5√12 – 2√6 – 15√4 + 6√2

= 5√(4×3) – 2√6 – 15×2 + 6√2

= 5×2√3 – 2√6 – 30 + 6√2

= 10√3 – 2√6 – 30 + 6√2

(3√6+√2)(√6-3√2)

= 3√36 + √12 – 9√12 – 3√4

= 3×6 + √(4×3) – 9√(4×3) – 3×2

= 18 + 2√3 – 9×2√3 – 6

= 18 + 2√3 – 18√3 – 6

= 18 – 6 + 2√3 – 18√3

= 12 – 16√3