Question

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simplifique as raizes
a) √2000
b)√1875
c)³√432
d)⁴√1296

Answer 1

$a)\ \sqrt{2000} = \sqrt{400\ .\ 5} = \sqrt{20^{2}\ .\ 5} =\boxed{\boxed{20 \sqrt{5} }}\\ \\ \\ \\ b)\ \sqrt{1875} = \sqrt{625\ .\ 3} = \sqrt{25^{2}\ .\ 3} =\boxed{\boxed{ 25\sqrt{3} }} \\ \\ \\ c)\ \sqrt[3]{432} = \sqrt[3]{ 216\ .\ 2 } = \sqrt[3]{ 6^{3} \ .\ 2} =\boxed{\boxed{6 \sqrt[3]{2} }} \\ \\ \\ d)\ \sqrt[4]{1296} =\boxed{\boxed{6}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$