Question

How do you simplify `2sqrt3 * 4sqrt2`?

Answer 1

`8sqrt6`

Explanation:

`2sqrt3 * 4sqrt2 = (2*4) * (sqrt3 * sqrt2)`

`sqrta * sqrtb = sqrt(a*b)` (law of indices)

`sqrt3 * sqrt2 = sqrt6`

`2 * 4 = 8`

`2sqrt3 * 4sqrt2 = 8sqrt6`