Tolong di jawab semua dengan benar​

Nomor 3.

a. 6p + 6q

= 6(p + q)

= 6((2 – 3√7) + (2 + 3√7))

= 6(2 + 2)

= 6 × 4 = 24

b. 8pq

= 8(2 – 3√7)(2 + 3√7) -> Bilangan sekawan beda tanda = a² – b²

= 8(2² – (3√7)²)

= 8(4 – (9 × 7))

= 8(4 – 63)

= 8 × 59

= 472

c. p/q

= (2 – 3√7)/(2 + 3√7)

= (2 – 3√7)/(2 + 3√7) × (2 – 3√7)/(2 – 3√7)

= (2 – 3√7)²/(2² – (3√7)²)

= (4 – 12√7 + (9 × 7))/59

= (4 – 12√7 + 63)/59

= (67 – 12√7)/59

d. p² – 3q

= (2 – 3√7)² – 3(2 + 3√7)

= 67 – 12√7 – (6 + 9√7)

= 67 – 12√7 – 6 – 9√7

= 61 + 21√7

Nomor 4

a. 5/(√6 – √7)

= 5/(√6 – √7) × (√6 + √7)/(√6 + √7)

= 5(√6 + √7)/((√6)² – (√7)²)

= 5(√6 + √7)/(6 – 7)

= 5(√6 + √7)/(-1)

= -5√6 – 5√7

b. √5/(2 + √3)

= √5/(2 + √3) × (2 – √3)/(2 – √3)

= √5(2 – √3)/(2² – (√3)²)

= (2√5 – √15)/1

= 2√5 – √15

Nomor 5

Luas segitiga = 1/2 a×t

= 1/2 (14√2 × 14√2)

= 1/2 (196 × 2)

= 196 cm²