Question

How do you simplify `7sqrt2 · 4sqrt6`?

Answer 1

`56 sqrt(3)`

Explanation:

We have: `7 sqrt(2) cdot 4 sqrt(6)`

Let's express `sqrt(6)` as `sqrt(2) cdot sqrt(3)`:

`= 7 cdot sqrt(2) cdot 4 cdot sqrt(2) cdot sqrt(3)`

`= 7 cdot 2 cdot 4 cdot sqrt(3)`

`= 56 sqrt(3)`