`a)` `x^2-7`
`=(x-sqrt(7))(x+sqrt(7))`
`b)` `x^4-3`
`=(x^2-sqrt(3))(x^2+sqrt(3))`
`=(x-sqrt(sqrt(3)))(x+sqrt(sqrt(3)))(x^2+sqrt(3))`
`c)` `x^2-2*sqrt(13)*x+13`
`=(x-sqrt(13))^2`
`d)` `x^2-16`
`=x^2-4^2`
`=(x-4)(x+4)`
`e)` `x-81`
`=(sqrt(x)-9)(sqrt(x)+9)`
`f)` `x^2+2*sqrt(5)*x+5`
`=(x+sqrt(5))(x-sqrt(5))`