Question

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

Answer 1

`=4`

Explanation:

`color(blue)(sqrt2) ( 3 sqrt2 - sqrt2)`

`= color(blue)(sqrt2) * ( 3 sqrt2) + color(blue)(sqrt2)* (- sqrt2)`

`= 3 * sqrt2 * sqrt2 - (sqrt2 * sqrt2)`

`= (3 * 2) - (2 )`

`= 6 - 2`

`=4`