Question

$Calcule o Valor Das Expressões. a) \sqrt{25} + \sqrt[3]{27} + \sqrt[4]{81} b) \sqrt[3]{-64} + \sqrt{64} c) 2 \sqrt{4,41} - 3 \sqrt{2,56}$

Answer 1

Explicação passo-a-passo:

$a)\\ \sqrt{25} +\sqrt[3]{27} +\sqrt[4]{81} =\\ \\ \sqrt{5^2} +\sqrt[3]{3^3} +\sqrt[4]{3^4} =\\ \\ 5+3+3=11\\ \\ b)\\ \sqrt[3]{-64} +\sqrt{64} =\\ \\ \sqrt[3]{-(2^6)} +\sqrt{2^6} =\\ \\ \sqrt[3]{-(2^3.2^3)} +\sqrt{2^3.2^3} =\\ \\ -(2.2)+2.2=\\ \\ -4+4=0\\ \\ c)\\ 2\sqrt{4,41} -3\sqrt{2,56} =\\ \\ 2\sqrt{{441\over100}} -3\sqrt{{256\over100}} =\\ \\ 2\sqrt{{3^2.7^2\over2^2.5^2}} -3\sqrt{{2^8\over2^2.5^2}} =\\ \\ 2.({3.7\over2.5})-3.({2^4\over2.5})=\\ \\ 3.({21\over10})-3.({16\over12})=\\ \\ 3.(2,1)-3.(1,6)=$

$6,3-4,8=1,5$