Questão 07 Efetue as operações abaixo: a) √49 + √16 = b) 10 √2/3 + 4 √2/3 − √2/3 = c) √2/4 ⋅ √8/4 = d) √2 ⋅ (√7 + 2) = e) √20/3 ÷ √10/3 = f ) (3√7)...

a) √49 + √16 = 7 + 4 = 11 b) 10 √2/3 + 4 √2/3 − √2/3 = 14√2/3 c) √2/4 ⋅ √8/4 = √16/16 = 1 d) √2 ⋅ (√7 + 2) = √2 * (√7 + 2) e) √20/3 ÷ √10/3 = √(20/3) / √(10/3) f) (3√7)2 = (3√7) * (3√7) g) √√154 = √(√154)

a) √49 + √16 = 7 + 4 = 11

b) 10√2/3 + 4√2/3 - √2/3 = (10 + 4 - 1)√2/3 = 13√2/3

c) √2/4 ⋅ √8/4 = (√2/2) ⋅ (√2) = 1

d) √2 ⋅ (√7 + 2) = √(2 * 7) + √(2 * 2) = √14 + 2√2

e) √20/3 ÷ √10/3 = (√20/√10) / 3 = (2√5 / √10) / 3 = (2/√2) / 3 = (2 * √2) / (3 * √2) = 2/3

f) (3√7)^2 = 3^2 * (√7)^2 = 9 * 7 = 63

g) √√154 = √(√(2 * 7 * 11)) = √(√154) ≈ √12.41 ≈ 3.52

Lembrando que √x representa a raiz quadrada de x, e √(a * b) = √a * √b.