Respostas

2013-06-03T22:17:21-03:00

a) (\sqrt{2})^{3} = \sqrt{2^{3}} = \sqrt{2^{2}.2} = 2\sqrt{2}

 

b) (\sqrt{27})^{3} = \sqrt{27^{3}} = \sqrt{27^{2}.27} = 27\sqrt{27} = 27\sqrt{3^{2}.3} = 27.3\sqrt{3} = 81\sqrt{3}

 

c) Igual a A

 

d) mesma coisa da A, ficando 5V5

 

e)\sqrt{\sqrt{48}} = \sqrt{4\sqrt{3}} = \sqrt{2^{2}\sqrt{3}} = 2\sqrt{\sqrt{3}}

 

f) \sqrt[3]{\sqrt{128}} = \sqrt[3]{\sqrt{2^{2}.2^{2}.2^{2}.2}} = \sqrt[3]{2.2.2\sqrt{2}} = \sqrt[3]{2^{3}\sqrt{2}} = 2\sqrt[3]{\sqrt{2}}

 

g)\sqrt{\sqrt{32}} = \sqrt{4\sqrt{2}} = 2\sqrt{\sqrt{2}}

 

h) \sqrt{\sqrt{25}} = \sqrt{5}

 

i)\sqrt{\sqrt{\sqrt{36}}} = \sqrt{\sqrt{6}}

 

j) \sqrt{\sqrt{80}} = \sqrt{4\sqrt{5}} = 2\sqrt{\sqrt{5}}

 

k) \sqrt{\sqrt{45}} = \sqrt{3\sqrt{5}}

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