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