Question

How do you simplify `( 8 + sqrt 6) /sqrt 2`?

Answer 1

`4sqrt2+sqrt3`

Explanation:

`(8+sqrt6)/sqrt2`

`(8+sqrt6)/sqrt2 xx sqrt2/sqrt2`

`[sqrt2(8+sqrt6)]/2`

`(8sqrt2+sqrt12)/2`

`(8sqrt2+sqrt(4xx3))/2`

`(8sqrt2+2sqrt3)/2`

`[2(4sqrt2+sqrt3)]/2`

`4sqrt2+sqrt3`