Question

Simplifying Radical expressions. The square root of 512m3. (Algebra 2)

Answer 1

√512 = √256.2 = √256.√2 = 16√2 m³ of course...

Answer 2

$square\ root:\\\\ \sqrt{512\ m^3} = \sqrt{2\cdot256\cdot m^2\cdot m} = \sqrt{(16 m)^2\cdot 2m} =16m\cdot \sqrt{2m} \\\\\\cube\ root:\\\\ \sqrt[3]{512\ m^3} = \sqrt[3]{8^3\cdot m^3} = \sqrt[3]{(8m)^3} =8m$