Question

How do you simplify `sqrt2 (3sqrt2 - 5sqrt2)`?

Answer 1

`sqrt2 (color(red)(3sqrt2 - 5sqrt2))`

Solving expression within brackets first :
`3sqrt2 - 5sqrt2 = color(red)(-2sqrt2`

The expression now becomes:
`sqrt2 . (color(red)(- 2sqrt2))`

`= -2 . sqrt2.sqrt2`
`= -2 . sqrt4`
`= -2 . 2`
`= -4`