\(\dfrac{5\sqrt{2}-\sqrt{8}+\sqrt{32}}{\sqrt{2}}=\dfrac{5\sqrt{2}-2\sqrt{2}+4\sqrt{2}}{\sqrt{2}}=\dfrac{7\sqrt{2}}{\sqrt{2}}=7\)
`(5sqrt2-sqrt8+sqrt32):sqrt2`
`= \frac{5sqrt2}{sqrt2}-\frac{sqrt8}{sqrt2}+\frac{sqrt32}{sqrt2}`
`= 5-sqrt4+sqrt16`
`= 5-2+4`
`= 7`