Question

How do you simplify `sqrt2 ( sqrt8 + 3)`?

Answer 1

`color(blue)(4 + 3sqrt2)`

Explanation:

`color(red)(sqrt2) ( sqrt8 + 3)`
Here, we multiply `sqrt2` with each of the terms within the bracket.

`= (color(red)(sqrt2). sqrt8) + (color(red)(sqrt2) . 3)`

`= color(red)(sqrt16) + 3sqrt2`

`= color(blue)(4 + 3sqrt2)`