Question

Resolva os radicais (utilize as propriedades quando necessario

Answer 1

a)$\frac{ \sqrt{18} }{2} = \frac{ \sqrt{2. 3^{2} } }{2} = \frac{3 \sqrt{2} }{2}$

b)$\sqrt[3]{ 2^{6} } . \sqrt[3]{ 2^{4} }= \sqrt[3]{ 2^{6} . 2^{4} } = \sqrt[3]{ 2^{6+4} } = \sqrt[3]{ 2^{10} }$

c)
$\sqrt[4]{ 2^{8} } = 2^{ \frac{8}{4} } = 2^{2} = 4$

d) 
$\sqrt[1000]{ 2^{1000} } = 2^{ \frac{1000}{1000} } = 2^{1} = 2$

e)
$\sqrt[4]{25} = \sqrt[4]{ 5^{2} } = 5^{ \frac{2}{4} } = 5^{ \frac{1}{2} } = \sqrt{5}$

f)
$\sqrt[3]{64} = \sqrt[3]{ 4^{3} } = 4$

g)
$\sqrt{3} . \sqrt{5} = \sqrt{3.5}= \sqrt{15}$

i)
$\sqrt{ 5^{6} } = 5^{ \frac{6}{2} } = 5^{3} = 125$