Question

1) Efetue as operações

Answer 1

Resposta:

a) -6√5 | b) -2√10 | c) -8√7 | d) 30√3 | e) ∛30 | f) 6 | g) 2√5 + 5 | h) 7√2 | i) 2 | j) 5

Explicação passo a passo:

a) 3√5 + √5 - 10√5 = √5(3 + 1 - 10) = √5(4 - 10) = √5(-6) = -6√5

b) 3√10 + √10 - 6√10 = √10(3 + 1 - 6) = √10(4 - 6) = √10(-2) = -2√10

c) √7 + √7 - 10√7 = √7(1 + 1 - 10) = √7(2 - 10) = √7(-8) = -8√7

d) 3√12 + 12√12 = 3√4x3 + 12√4x3 = 3×2√3 + 12×2√3 = 6√3 + 24√3 = √3(6 + 24) = √3(30) = 30√3

e) ∛5 × ∛6 = ∛5×6 = ∛30

f) √2 × √6 × √3 = √2×6×3 = √36 = √6² = 6

g) √5 × (2 + √5) = √5 × 2 + √5 × √5 = 2√5 + √5×5 = 2√5 + √5² = 2√5 + 5

h) (3√2 - 2) × (√2 + 3) = (3√2 × √2) + (3√2 × 3) - (2 × √2) - (2 × 3) =

3√2² + 9√2 - 2√2 - 6 = 3×2 + √2(9 - 2) - 6 = 6 - 6 + √2(7) = 7√2

i) √12 ÷ √3 = √12÷3 = √4 = √2² = 2

j) √50 ÷ √2 = √50÷2 = √25 = √5² = 5