Question

simplifique as raízes
me ajude por favor​

Answer 1

a) √98 = 7√2

b) ⁴√80 = 2 ⁴√5

c) ³√24 = 2 ³√3

d) ⁵√224 = 2 ⁵√7

Fatorando pra achar as raízes

98|2

49|7

7|7 = √2.7² = 7√2

1

80|2

40|2

20|2

10|2

5|5 = ⁴√2⁴.5 = 2⁴√5

1

24|2

12|2

6|2

3|3 = ³√2³.3 = 2³√3

1

224|2

112|2

56|2

28|2

14|2

7|7 = ⁵√2⁵.7 = 2⁵√7

1

❤️ Prontinho ❤️

23/09

Answer 2

Explicação passo-a-passo:

A)

$\sqrt{98}$

$\sqrt{7 {}^{2} \times 2}$

$\sqrt{7 {}^{2} } \sqrt{2}$

=>7√2

B)

$\sqrt[4]{80}$

$\sqrt[4]{2 {}^{4} \times 5}$

$\sqrt[4]{2 {}^{4} } \sqrt[4]{5}$

=>2⁴√5

C)

$\sqrt[3]{24}$

$\sqrt[3]{2 {}^{3} \times 3}$

$\sqrt[3]{2 {}^{3} } \sqrt[3]{3}$

=>2³√3

D)

$\sqrt[5]{224}$

$\sqrt[5]{2 {}^{5} \times 7}$

$\sqrt[5]{2 {}^{5} } \sqrt[5]{7}$

=>2⁵√7