Question

Oblicz jak można napisać w krótkiej postaci 100√3÷3÷4

Answer 1

100 = 10² = (2×5)² = 2² × 5²
√3 = 3^1/2
1/3 = 3^(-1)
1/4 = 4^(-1) = 2^(-2)

100√3÷3÷4 = 2² × 5² × 3^1/2 ×3^(-1) × 2^(-2) = [2² × 2^(-2)] ×[3^1/2 ×3^(-1)] ×5² =
1 × 3^(-1/2) × 5² =25/√3