Question

extraia fatores dos radicais abaixo:
√128
√245
∛54
√500
√108

Answer 1

$\sqrt{128} = \sqrt{2^{5}} = \sqrt{2^2*2^2*2} = 2*2 \sqrt{2} = 4 \sqrt{2} \\ \\ \sqrt{245} = \sqrt{5*7^2} = 7\sqrt{5} \\ \\ \sqrt[3]{54} = \sqrt[3]{2*3^3} = 3 \sqrt[3]{2} \\ \\ \sqrt{500} = \sqrt{2^2*5^3} = 2\sqrt{5^2*5} = 2*5 \sqrt{5} = 10 \sqrt{5} \\ \\ \sqrt{2^2*3^3} = 2\sqrt{3^2*3} = 2 * 3 \sqrt{3} = 6 \sqrt{3}$