Question

How do you simplify `2sqrt6-2sqrt24`?

Answer 1

`2sqrt6-2sqrt24=-2sqrt6`

Explanation:

`2sqrt6-2sqrt24`

= `2sqrt(2xx3)-2sqrt(2xx2xx2xx3)`

= `2sqrt(2xx3)-2sqrt(ul(2xx2)xx2xx3)`

= `2sqrt(2xx3)-2xx2sqrt(2xx3)`

= `2sqrt6-4sqrt6`

= `-2sqrt6`