Question

realize as seguintes operações:​

Answer 1

Explicação passo-a-passo:

$a)\\ \sqrt{20} +\sqrt{80} -\sqrt{125} =\\ \\ \sqrt{2^2.5} +\sqrt{2^2.2^2.5} -\sqrt{5^2.5} =\\ \\ 2\sqrt{5} +4\sqrt{5} -5\sqrt{5} =\\ \\ 6\sqrt{5} -5\sqrt{5} =\sqrt{5} \\ \\ b)\\ 5\sqrt{28} -\sqrt{63} +7\sqrt{7} =\\ \\ 5\sqrt{2^2.7} -\sqrt{3^2.7} +7\sqrt{7} =\\ \\ 10\sqrt{7} -3\sqrt{7} +7\sqrt{7} =\\\\  17\sqrt{7} -3\sqrt{7} =14\sqrt{7}$

$c)\\ \sqrt[3]{24} +\sqrt[3]{81} \div\sqrt[3]{3} =\\ \\ \sqrt[3]{2^3.3} +\sqrt[3]{81\div3} \\ \\ 2\sqrt[3]{3} +\sqrt[3]{27} =\\ \\ 2\sqrt[3]{3} +\sqrt[3]{3^3} =\\ \\ 2\sqrt[3]{3} +3\\ \\ d)\\ \sqrt{2} \times\sqrt[3]{5} =$

mmc dos índices(2,3)=6

$\sqrt[6]{2^3.5^2} =\sqrt[6]{8.25}  =\sqrt[6]{200} \\ \\ e)\\ \sqrt[5]{2^2} \div\sqrt[3]{2} =$

mmc dos índices (5,3)=15

$\sqrt[15]{2^6.2^5} =\sqrt[15]{2^{6+5}} =\sqrt[15]{2^{11}}$