Question

por favor me ajuda gente :(
simplifique as expressões
a) -√54 -√486-√294
b)√128+√50 -√98+√242
c)∛189 -∛448 -∛875

Answer 1

a)
$- \sqrt{54} - \sqrt{486} - \sqrt{294} = \\ \\ - \sqrt{2.3.3^2} - \sqrt{2.3.3^4} - \sqrt{2.3.7^2} = \\ \\- 3 \sqrt{6} -9 \sqrt{6} -7 \sqrt{6} = \\ \\ -19 \sqrt{6}$


b)
$\sqrt{128} + \sqrt{50} - \sqrt{98} + \sqrt{242} = \\ \\ \sqrt{2.2^6} + \sqrt{2.5^2} - \sqrt{2.7^2} + \sqrt{2.11^2} = \\ \\ 8 \sqrt{2} +5 \sqrt{2} -7 \sqrt{2} +11 \sqrt{2} = \\ \\ 24 \sqrt{2} -7 \sqrt{2} = \\ \\ 17 \sqrt{2}$


c)
$\sqrt[3]{189} - \sqrt[3]{448} - \sqrt[3]{875} = \\ \\ \sqrt[3]{3^3.7} - \sqrt[3]{2^3.2^3.7} - \sqrt[3]{5^3.7} = \\ \\ 3 \sqrt[3]{7} -4 \sqrt[3]{7} -5 \sqrt[3]{7} = \\ \\ 3 \sqrt[3]{7} -9 \sqrt[3]{7} = \\ \\ -6 \sqrt[3]{7}$