Question

Nilai dari √6 × ³√8 × ⁴√36 sama dengan...
a. 12
b. 10
c. 8
d. 9

Tolong bantuin dong, caranya juga pliss butuh banget, cara yang lengkap

Answer 1

Verified answer

√6 × ³√8 × ⁴√36
= √(2×3)  × ³√2³ × ⁴√(9×4)
= √2 × √3 × ³√2³ × ⁴√9 × ⁴√4
= √2 × √3 × ³√2³ × ⁴√3² × ⁴√2²
= 2^(1/2) × 3^(1/2) × 2^(3/3) × 3^(2/4) × 2^(2/4)
= 2^(1/2) × 3^(1/2) × 2¹ × 3^(1/2) × 2^(1/2)
= 2^(1/2 + 1/2 + 1) ₓ 3^(1/2 + 1/2)
= 2² × 3¹
= 4 × 3
= 12