Question

How do you simplify `(7sqrt6+3sqrt7)(8sqrt6-9sqrt7)`?

Answer 1

`color(crimson)(=> 3 (49 - 13 sqrt42)`

Explanation:

`(7sqrt6 +.3 sqrt7) (8sqrt6 - 9sqrt7)`

`=> 56*6 + 24 sqrt42 - 63 sqrt42 - 27*7`

`=> 336 - 39 sqrt42 - 189`

`=> 147 - 39 sqrt42`

`color(crimson)(=> 3 (49 - 13 sqrt42)`