Question

Simplify the square root of 512 m3

Answer 1

`\bf √(512)\qquad \begin{cases} 512=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\\ &2^9\\ &2^(8+1)\\ &2^(4\cdot 2+1)\\ &(2^4)^2\cdot 2^1 \end{cases}\implies \sqrt[2]{(2^4)^2\cdot 2} \\\\\\ 2^4√(2)\implies 16√(2)`