Question

A)³√7 ׳√7²
B)3 ×√3×√48
C)⁴√2 × ⁴√8
D)²√243 : ²√3³
E)³√8 ×27 × √25
Calcule e mostre a forma como cada um foi calculado

Answer 1

A)³√7 ׳√7² =  ³√7³ = 7
B)3 ×√3×√48 = 3×√(48*3) = 3×12 = 36
C)⁴√2 × ⁴√8 = ⁴√16 = ⁴√2⁴ = 2
D)²√243 : ²√3³ = ²√(243/3³) = ²√9 = 3
E)³√8 ×27 × √25 = ³√2³  × 27 × √5² = 2 × 27 × 5 = 270

Answer 2

a) ∛7 x ∛7² = ∛(7.7²) = ∛7³ = 7
b) 3 x √3 x √48 = 3 x √3 x √(2⁴.3) = 3 x √(2⁴.3.3) = 3 x √(2⁴.3²) = 3 x 2² x 3 = 36
48 | 2
24 | 2
12 | 2
6   | 2
3   | 3
1   |-----------------
     | 2⁴.3

c) ⁴√2 x ⁴√8 = ⁴√(2³.2) = ⁴√2⁴ = 2

d) √243 : √3³ = √3⁵ : √3³ = √(3⁵/3³) = √3² = 3

243 | 3
81   | 3
27   | 3
9     | 3
3     | 3
1     |----------------
       | 3⁵

e) ∛8 x 27 x √25 = ∛2³ x 27 x √5² = 2 x 27 x 5 = 270