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Simplifying Radical expressions. The square root of 512m3.

(Algebra 2)

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Pepe11id
√512 = √256.2 = √256.√2 = 16√2 m³ of course...
Kate200468id
[tex]square\ root:\\\\ \sqrt{512\ m^3} = \sqrt{2\cdot256\cdot m^2\cdot m} = \sqrt{(16 m)^2\cdot 2m} =16m\cdot \sqrt{2m} \\\\\\cube\ root:\\\\ \sqrt[3]{512\ m^3} = \sqrt[3]{8^3\cdot m^3} = \sqrt[3]{(8m)^3} =8m[/tex]

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