Question

How do you simplify `8sqrt448`?

Answer 1

`64 * sqrt7`.

Explanation:

`448 = 2 * 224 = 2 * 2 * 112 = 2 * 2 * 2 * 56`

`=2 * 2 * 2 * 2 * 28 = 2 * 2 * 2 * 2 * 2 * 14`

`=2 * 2 * 2 * 2 * 2 * 2 * 7`

`8 * sqrt448 = 8 * sqrt(8 * 8 * 7) = 8 * 8 * sqrt7 = 64 * sqrt(7)`