Question

How do you simplify `sqrt2(5+sqrt8)`?

Answer 1

`sqrt(2)(5+sqrt(8))=color(green)(5sqrt(2)+4)`

Explanation:

`sqrt(2)(5+sqrt(8))`
`color(white)("XXX")=sqrt(2) * 5 + sqrt(2) * sqrt(8)` (distributive property)

`color(white)("XXX")=5sqrt(2)+sqrt(16)`

`color(white)("XXX")=5sqrt(2)+4`