Question

aplique as propriedades dos radicais​

Answer 1

a)

$\sqrt[20]{ {3}^{15} } = {3}^{ \frac{15}{20} } = {3}^{ \frac{3}{4} } = \sqrt[4]{ {3}^{3} } = \sqrt[4]{27}$

b)

$\sqrt[5]{ {a}^{5} } = {a}^{ \frac{5}{5} } = {a}^{1} = a$

c)

$\sqrt[6]{ {10}^{18} } = {10}^{ \frac{18}{6} } = {10}^{3} = 1000$

d)

$\sqrt{7 \times 21} = \sqrt{7} \times \sqrt{21}$

e)

$\sqrt{ \frac{64}{121} } = \frac{ \sqrt{64} }{ \sqrt{121} } = \frac{8}{11}$

f)

$\sqrt{144 \times 12} = \sqrt{144} \times \sqrt{12} = 12 \sqrt{12}$

g)

$\sqrt[5]{ \sqrt{ {3}^{2} } } = \sqrt[10]{9}$

h)

$\sqrt[3]{ \sqrt{ \sqrt{5} } } = \sqrt[12]{5}$

i)

$\sqrt{ \frac{1}{81} } = \frac{ \sqrt{1} }{ \sqrt{81} } = \frac{1}{9}$