Question

4-efetue a simplifique a possivel

Answer 1

Resposta:

Explicação passo a passo:

$a) \sqrt{5} . \sqrt{20} = \sqrt{5 . 20} = \sqrt{100} = 10$

$b) \sqrt[8]{5^{7} } . \sqrt[8]{5^{7} } . \sqrt[8]{5^{7} } = \sqrt[8]{5^{7} . 5^{7} . 5^{7} } = \sqrt[8]{5^{7 + 7 + 7} } = \sqrt[8]{5^{21} } = \sqrt[8]{5^{8} . 5^{8} . 5^{5} } = 5 . 5 \sqrt[8]{5^{5} } = 25\sqrt[8]{5^{5} }$

$c) \sqrt[3]{27} + \sqrt[3]{8} = \sqrt[3]{3^{3} } + \sqrt[3]{2^{3} } = 3 . 2 = 6$

$d) 9\sqrt{20} + 5\sqrt{5} - 2\sqrt{45} = 9\sqrt{2^{2} . 5 } + 5\sqrt{5} + 2\sqrt{3^{2} . 5} = 9 . 2 \sqrt{5} + 5\sqrt{5} + 2 . 3\sqrt{5} = 18\sqrt{5} + 5\sqrt{5} + 6\sqrt{5} = (18 + 5 + 6)\sqrt{5} = 29\sqrt{5}$