Question

Simplifique a expressão: √2 × (√8 + 2 × √6) - √3 (√27 + 3 × √6)

Answer 1

Olá,

√2 (√8 + 2√6) - √3 (√27 + 3√6) = 4+2√12-9-3√18 

√2 × √8 = √16 = 4
√2 × 2√6 = 2√12

√3 × √27 = √81 = 9
√3 × 3√6 = 3√18

2√12 = 2√(4×3) = 2×√4×√3 = 2×2×√3 = 4√3
3√18 = 3×√9×√2 = 3×3×√2 = 9√2

4+2√12-9-3√18 = 4-9+4√3-3√18 = -5+4√3-9√2

Resposta:

-5+4√3-9√2