Question

Sederhanakan bentuk akar dari perkalian:
a. √2 x 4√2
b. 7√2(6√3 - 4√5)
c. (√6 + √3) (√4 - √3)
d. (7√3 - 6√3) (6√3 - 4√3)

Answer 1

A. √2 × 4√2
= 4(√2×√2)
= 4 × 2
= 8

b. 7√2(6√3 - 4√5)
= (7√2 × 6√3) - (7√2 × 4√5)
= 42√ 6 - 28√10

c. (√6+√3) (√4-√3)
= (√6×√4) + (√6×(-√3)) + (√3×√4) + (√3×(-√3))
= √24 + (-√18) + √12 + (-√9)
= 2√6 - 3√2 + 2√3 - 3
= 2(√6 + √3) - 3(1 + √2)

d. (7√3 - 6√3) (6√3 - 4√3)
= (7√3 × 6√3) + (7√3 × (-4√3)) + ((-6√3) × 6√3) + ((-6√3) × (-4√3))
= (42(3)) + (-28(3)) + (-36(3)) + (24(3))
= 126 - 84 - 108 + 72
= 6

semoga bermanfaat :)