`#tnvt`
`\frac{\sqrt{17}}{4+\sqrt{17}}`
`=\frac{\sqrt{17}(4-\sqrt{17})}{(4+\sqrt{17})(4-\sqrt{17})}`
`=\frac{\sqrt{17}(4-\sqrt{17})}{4^2-\sqrt{17}^2}`
`=\frac{\sqrt{17}(4-\sqrt{17})}{16-17}`
`=\frac{\sqrt{17}(4-\sqrt{17})}{-1}`
`=-\sqrt{17}(4-\sqrt{17})`
`=-4\sqrt{17}+17`