Question

Simplifique cada um dos radicais a seguir: √50= √147= ∛162= √(5&160)= ∜208= √44= √12= ∛320=

Answer 1

√50 → √2¹ × 5² → 5√2

50 | 2

25 | 5

5 | 5

1 |2¹ × 5²

√147 → √3¹ × 7² → 7√3

147 | 3

49 | 7

7 | 7

1 |3¹ × 7²

∛162 → ∛2 × 3⁴ → ∛2¹ × 3³ ×3¹ → 3∛2 × 3 → 3∛6

162 | 2

81 | 3

27 | 3

9 | 3

3 | 3

1 |2¹ × 3⁴

∜208 → ∜2⁴ × 13¹ → 2∜13

208 | 2

104 | 2

52 | 2

26 | 2

13 | 13

1 |2⁴ × 13¹

√44 → √2² × 11¹ → 2√11

44 | 2

22 | 2

11 | 11

1 |2² × 11¹

√12 → √2² × 3¹ → 2√3

12 | 2

6 | 2

3 | 3

1 |2² × 3¹

∛320 → ∛2⁶ × 5¹ → 2²∛5 → 4∛5

320 | 2

160 | 2

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

1 |2⁶ × 5¹

Espero ter ajudado!!!